Somewhere there’s analysis small and large patches special

## [1] "!! high !! (this document showcases only the analysis done for the high disturbance)"

Design

Parameters

# R markdown

start_time = Sys.time()
knitr::opts_chunk$set(message = FALSE,
                      cache = FALSE,
                      autodep = FALSE)
recompute_lengthy_analyses = FALSE #Lengthy analyses have been suppressed. Set recompute_analyses = TRUE to redo them. 
# Disturbance & resource flows

disturbance_levels = c("low", "high")
n_disturbance_levels = length(disturbance_levels)

resource_flow_days = c(5, 9, 13, 17, 21, 25)
first_resource_flow = resource_flow_days[1]
# Sampling

total_frames = 125
volume_recorded_μl = 34.4
time_points = 0:7
time_points_without_t0 = 1:7
time_point_names = c("t0", "t1", "t2", "t3", "t4", "t5", "t6", "t7")
sampling_days = c(0, 4, 8, 12, 16, 20, 24, 28)
first_time_point = 0
last_time_point = length(sampling_days) - 1
n_time_points = last_time_point + 1
nr_videos = c(12, 1, 1, 1, 1, 1, 2, 2) #Videos taken for each time point for each culture. At t0 we took 12 videos of the large bottle from which we started the  cultures. Write why 2 at the end. 

videos_taken = data.frame(time_point = 0 : 7,
                          nr_videos = c(12, 1, 1, 1, 1, 1, 2, 2))

n_videos_taken_t0 = nr_videos[1]

time_point_day = data.frame(
  time_point = first_time_point:last_time_point,
  day = sampling_days,
  video_replicates = nr_videos
)

videos_to_take_off = data.frame(culture_ID = NA,
                                time_point = NA,
                                file = NA) %>%
                     add_row(culture_ID = 137-110, time_point = 7, file = 137) %>%
                     slice(-1)

n_cultures = 110
total_number_of_video_rows = sum(nr_videos * n_cultures)
# Protists

protist_species = c("Ble", "Cep", "Col", "Eug", "Eup", "Lox", "Pau", "Pca", "Spi", "Spi_te", "Tet")
protist_species_indiv_per_volume = paste0(protist_species, "_indiv_per_volume")
protist_species_indiv_per_ml = paste0(protist_species, "_indiv_per_ml")
protist_species_dominance = paste0(protist_species_indiv_per_ml, "_dominance")
protist_species_total = paste0(protist_species, "_tot_indiv")
n_protist_species = length(protist_species)
first_protist = protist_species[1]
last_protist = protist_species[n_protist_species]
species_IDD_with_13_threshold = c("Col", "Eug", "Eup", "Lox", "Pau", "Pca", "Spi_te", "Tet")
species_IDD_with_13_threshold_indiv_per_volume = paste0(species_IDD_with_13_threshold, "_indiv_per_volume")
species_IDD_with_40_threshold = c("Ble", "Cep", "Spi")
species_IDD_with_40_threshold_indiv_per_volume = paste0(species_IDD_with_40_threshold, "_indiv_per_volume")
# Patches

patches_to_take_off = 60 #Culture ID = 60 as it was spilled (small isolated, high disturbance, system nr = 40)
culture_info = read.csv(here("data", "culture_info.csv"), header = TRUE)

columns_patches = c("time_point",
                    "day",
                    "culture_ID",
                    "system_nr",
                    "disturbance",
                    "patch_type",
                    "patch_size",
                    "patch_size_ml",
                    "size_connected_patch",
                    "metaecosystem",
                    "metaecosystem_type")
columns_treatments = columns_patches[!columns_patches %in% c("system_nr", "culture_ID")]

variables_patches = c("bioarea_mm2_per_ml",
                      "bioarea_tot_mm2",
                      "indiv_per_ml",
                      "indiv_tot",
                      "species_richness",
                      "shannon",
                      "simpson",
                      "inv_simpson",
                      "evenness_pielou",
                      "median_body_area_µm2",
                      paste0(protist_species, "_indiv_per_ml"),
                      paste0(protist_species, "_tot_indiv"),
                      paste0(protist_species_indiv_per_ml, "_dominance"))
baseline_columns = paste0("baseline_", variables_patches)

patch_types_ordered = c("Small isolated",
                        "Small connected to small",
                        "Small connected to large",
                        "Medium isolated",
                        "Medium connected to medium",
                        "Large isolated",
                        "Large connected to large",
                        "Large connected to small")

treatments_and_controls = data.frame(
  treatment = c(
    "Small connected to small",
    "Small connected to large",
    "Medium connected to medium",
    "Large connected to large",
    "Large connected to small"
  ),
  control = c(
    "Small isolated",
    "Small isolated",
    "Medium isolated",
    "Large isolated",
    "Large isolated"
  )
)
n_treatments = length(unique(treatments_and_controls$treatment))
n_controls = length(unique(treatments_and_controls$control))
n_replicates = 5
n_patch_types = 8
# Size classes

n_size_classes = 12
columns_classes = c(columns_patches,
                    "size_class_n",
                    "mean_class_area_µm2")
# Meta-ecosystems

metaecosystems_to_take_off = culture_info %>%
  filter(culture_ID %in% patches_to_take_off) %>%
  pull(system_nr) %>%
  unique

system_nr_metaecosystems = culture_info %>%
  filter(metaecosystem == "yes") %>%
  pull(system_nr) %>%
  unique

n_metaecosystems = length(system_nr_metaecosystems)

variables_metaecos = c(
  "total_metaecosystem_bioarea_mm2",
  "jaccard_index",
  "bray_curtis",
  "beta_spatial_turnover",
  "beta_nestedness",
  "beta_total",
  "metaecosystem_richness")

metaecosystem_types_ordered = c(
      "Small-Small meta-ecosystem",
      "Medium-Medium meta-ecosystem",
      "Medium-Medium isolated",
      "Large-Large meta-ecosystem",
      "Small-Large meta-ecosystem",
      "Small-Large isolated")
# Plotting

axis_names = data.frame(variable = NA,
                        axis_name= NA) %>%
  add_row(variable = "day", axis_name = "Time (day)") %>%
  add_row(variable = "patch_size_ml", axis_name = "Patch size (ml)") %>%
  add_row(variable = "log_size_class", axis_name = "Log size (μm2)") %>%
  add_row(variable = "class_indiv_per_µl", axis_name = "Density (ind/ml)") %>%
  add_row(variable = "bioarea_mm2_per_ml", axis_name = "Bioarea density (mm²/ml)") %>%
  add_row(variable = "bioarea_mm2_per_ml_d", axis_name = "Bioarea Density ES") %>%
  add_row(variable = "bioarea_tot", axis_name = "Tot Bioarea (mm²)") %>%
  add_row(variable = "total_metaecosystem_bioarea_mm2", axis_name = "Tot Bioarea (mm²)") %>%
  add_row(variable = "species_richness", axis_name = "Species Richness") %>%
  add_row(variable = "species_richness_d", axis_name = "Species Richness ES") %>%
  add_row(variable = "mean_richness", axis_name = "mean α Diversity (Shannon)") %>%
  add_row(variable = "mean_shannon", axis_name = "mean α Diversity (Shannon)") %>%
  add_row(variable = "shannon", axis_name = "Biodiversity (Shannon)") %>%
  add_row(variable = "shannon_d", axis_name = "Biodiversity ES (Shannon ES)") %>%
  add_row(variable = "bray_curtis", axis_name = "β Diversity (Bray-Curtis)") %>%
  add_row(variable = "beta_spatial_turnover", axis_name = "Turn over (Simpson pair-wise dissimilarity)") %>%
  add_row(variable = "beta_nestedness", axis_name = "Nestedness (nestedness-fraction of Sorensen)") %>%
  add_row(variable = "beta_total", axis_name = "Tot β Diversity (Sorensen)") %>%
  add_row(variable = "metaecosystem_richness", axis_name = "γ Diversity (Species Richness)") %>%
  add_row(variable = "indiv_per_ml", axis_name = "Abundance (ind/ml)") %>%
  add_row(variable = "indiv_per_ml_d", axis_name = "Abundance ES") %>%
  add_row(variable = "median_body_area_µm2", axis_name = "Median body size (µm²)") %>%
  add_row(variable = "median_body_area_µm2_d", axis_name = "Median Body Size ES") %>%
  add_row(variable = "Ble_indiv_per_ml", axis_name = "Ble Density (ind/ml)") %>% 
  add_row(variable = "Cep_indiv_per_ml", axis_name = "Cep Density (ind/ml)") %>%
  add_row(variable = "Col_indiv_per_ml", axis_name = "Col Density (ind/ml)") %>%
  add_row(variable = "Eug_indiv_per_ml", axis_name = "Eug Density (ind/ml)") %>%
  add_row(variable = "Eup_indiv_per_ml", axis_name = "Eup Density (ind/ml)") %>%
  add_row(variable = "Lox_indiv_per_ml", axis_name = "Lox Density (ind/ml)") %>%
  add_row(variable = "Pau_indiv_per_ml", axis_name = "Pau Density (ind/ml)") %>%
  add_row(variable = "Pca_indiv_per_ml", axis_name = "Pca Density (ind/ml)") %>%
  add_row(variable = "Spi_indiv_per_ml", axis_name = "Spi Density (ind/ml)") %>%
  add_row(variable = "Spi_te_indiv_per_ml", axis_name = "Spi te Density (ind/ml)") %>%
  add_row(variable = "Tet_indiv_per_ml", axis_name = "Tet Density (ind/ml)") %>%
  add_row(variable = "Ble_indiv_per_ml_d", axis_name = "Ble Density ES") %>%
  add_row(variable = "Cep_indiv_per_ml_d", axis_name = "Cep Density ES") %>%
  add_row(variable = "Col_indiv_per_ml_d", axis_name = "Col Density ES") %>%
  add_row(variable = "Eug_indiv_per_ml_d", axis_name = "Eug Density ES") %>%
  add_row(variable = "Eup_indiv_per_ml_d", axis_name = "Eup Density ES") %>%
  add_row(variable = "Lox_indiv_per_ml_d", axis_name = "Lox Density ES") %>%
  add_row(variable = "Pau_indiv_per_ml_d", axis_name = "Pau Density ES") %>%
  add_row(variable = "Pca_indiv_per_ml_d", axis_name = "Pca Density ES") %>%
  add_row(variable = "Spi_indiv_per_ml_d", axis_name = "Spi Density ES") %>%
  add_row(variable = "Spi_te_indiv_per_ml_d", axis_name = "Spi te Density ES") %>%
  add_row(variable = "Tet_indiv_per_ml_d", axis_name = "Tet Density ES") %>%
  add_row(variable = "Ble_indiv_per_ml_dominance", axis_name = "Ble Dominance (%)") %>%
  add_row(variable = "Cep_indiv_per_ml_dominance", axis_name = "Cep Dominance (%)") %>%
  add_row(variable = "Col_indiv_per_ml_dominance", axis_name = "Col Dominance (%)") %>%
  add_row(variable = "Eug_indiv_per_ml_dominance", axis_name = "Eug Dominance (%)") %>%
  add_row(variable = "Eup_indiv_per_ml_dominance", axis_name = "Eup Dominance (%)") %>%
  add_row(variable = "Lox_indiv_per_ml_dominance", axis_name = "Lox Dominance (%)") %>%
  add_row(variable = "Pau_indiv_per_ml_dominance", axis_name = "Pau Dominance (%)") %>%
  add_row(variable = "Pca_indiv_per_ml_dominance", axis_name = "Pca Dominance (%)") %>%
  add_row(variable = "Spi_indiv_per_ml_dominance", axis_name = "Spi Dominance (%)") %>%
  add_row(variable = "Spi_te_indiv_per_ml_dominance", axis_name = "Spi te Dominance (%)") %>%
  add_row(variable = "Tet_indiv_per_ml_dominance", axis_name = "Tet Dominance (%)") %>%
  add_row(variable = "Ble_indiv_per_ml_dominance_d", axis_name = "Ble Dominance ES") %>%
  add_row(variable = "Cep_indiv_per_ml_dominance_d", axis_name = "Cep Dominance ES") %>%
  add_row(variable = "Col_indiv_per_ml_dominance_d", axis_name = "Col Dominance ES") %>%
  add_row(variable = "Eug_indiv_per_ml_dominance_d", axis_name = "Eug Dominance ES") %>%
  add_row(variable = "Eup_indiv_per_ml_dominance_d", axis_name = "Eup Dominance ES") %>%
  add_row(variable = "Lox_indiv_per_ml_dominance_d", axis_name = "Lox Dominance ES") %>%
  add_row(variable = "Pau_indiv_per_ml_dominance_d", axis_name = "Pau Dominance ES") %>%
  add_row(variable = "Pca_indiv_per_ml_dominance_d", axis_name = "Pca Dominance ES") %>%
  add_row(variable = "Sp_indiv_per_mli_dominance_d", axis_name = "Spi Dominance ES") %>%
  add_row(variable = "Spi_te_indiv_per_ml_dominance_d", axis_name = "Spi te Dominance ES") %>%
  add_row(variable = "Tet_indiv_per_ml_dominance_d", axis_name = "Tet Dominance ES") %>%
  add_row(variable = "dominance", axis_name = "Dominance (%)") %>%
  add_row(variable = "log_abundance", axis_name = "Log Abundance + 1 (ind/mm²)") %>%
  add_row(variable = "abundance_hedges_d", axis_name = "Density ES") %>%
  add_row(variable = "beta_diversity_from_isolated", axis_name = "Divergence from isolated") %>%
  add_row(variable = "beta_diversity_from_previous_time", axis_name = "Temporal Divergence") %>%
  add_row(variable = "beta_diversity_from_previous_time_d", axis_name = "Temporal Divergence ES") %>%
  add_row(variable = "evenness_pielou", axis_name = "Evenness") %>%
  add_row(variable = "evenness_pielou_d", axis_name = "Evenness ES") %>%
  slice(-1)

parameters_treatments = data.frame(treatment = NA,
                                colour = NA,
                                linetype = NA) %>%
  add_row(treatment = "Small isolated", colour = "#bdbdbd", linetype = "solid") %>% 
  add_row(treatment = "Small connected to small", colour = "#feb24c", linetype = "dashed") %>%
  add_row(treatment = "Small connected to large", colour = "#feb24c", linetype = "solid") %>%
  add_row(treatment = "Medium isolated", colour = "#737373", linetype = "solid") %>%
  add_row(treatment = "Medium connected to medium", colour = "#de2d26", linetype = "solid") %>%
  add_row(treatment = "Large isolated", colour = "#000000", linetype = "solid") %>%
  add_row(treatment = "Large connected to large", colour = "#3182bd", linetype = "dashed") %>%
  add_row(treatment = "Large connected to small", colour = "#3182bd", linetype = "solid") %>%
  add_row(treatment = "Small-Small meta-ecosystem", colour = "#fc9272", linetype = "solid") %>%
  add_row(treatment = "Medium-Medium meta-ecosystem", colour = "#1b7837", linetype = "solid") %>%
  add_row(treatment = "Medium-Medium isolated", colour = "#1b7837", linetype = "dashed") %>%
  add_row(treatment = "Large-Large meta-ecosystem", colour = "#67000d", linetype = "solid") %>%
  add_row(treatment = "Small-Large meta-ecosystem", colour = "#762a83", linetype = "solid") %>%
  add_row(treatment = "Small-Large isolated", colour = "#762a83", linetype = "dashed") %>%
  slice(-1)

figures_height_rmd_output = 7

legend_position = "top"
legend_width_cm = 2
size_legend = 12
size_x_axis = 13
size_y_axis = size_x_axis
boxplot_width = 2
dodging = 0.5 
width_errorbar = 0.2
dodging_error_bar = 0.5

treatment_lines_linewidth = 1
treatment_points_size = 2.5

resource_flow_line_type = "solid"
resource_flow_line_colour = "#d9d9d9"
resource_flow_line_width = 0.3

zero_line_colour = "grey"
zero_line_line_type = "dotted"
zero_line_line_width = 0.5
zero_line_ES_line_type = "dotted"
zero_line_ES_colour = "grey"
zero_line_ES_line_width = 1

ggarrange_margin_top = 0
ggarrange_margin_bottom = 0
ggarrange_margin_left = 0
ggarrange_margin_right = 0

paper_width = 17.3
paper_height = 20
paper_units = "cm"
paper_res = 600

presentation_figure_size = 15
presentation_figure_width = 30
presentation_figure_height = 22
presentation_legend_size = 20
presentation_x_axis_size = 20
presentation_y_axis_size = presentation_x_axis_size
presentation_treatment_points_size = 5
presentation_treatment_linewidth = 2
presentation_figure_units = "cm"
presentation_figure_res = 600
# Modelling

first_time_point_model = 2 #Time point 2 is the first after disturbance
last_time_point_model = last_time_point

optimizer_input = 'Nelder_Mead'
method_input = ''

compar_ex = "The full and fixed models are compared to the null model."

results_table = data.frame(
  Response = as.character(NA),
  Levels = as.character(NA),
  ΔAIC_full = NA,
  p_full = NA,
  ΔR2_full = NA,
  ΔAIC_fix = NA,
  p_fix = NA,
  ΔR2_fix = NA
) %>%
  slice(-1)

Data

Experimental cultures (culture_info)

This table contains information about the 110 cultures of the experiment.

# Import
culture_info = read.csv(here("data", "culture_info.csv"), header = TRUE)

Individuals (ds_individuals)

In this dataset (ds_individuals) each row represents an individual at a time point.

# Import the individual data of t0. We considered cultures to be all the same at the beginning (t0). Because of this reason, we filmed only the bottles from which cultures were assembled. Because we want to plot also t0 for the different treatments, we want to assign the video of bottles to all cultures at t0.

ds_individuals_t0_not_elongated = read.csv(here("data", "individuals", "t0.csv")) %>%
  mutate(time_point =  as.numeric(str_extract(time_point, "\\d+")),
         day = 0,
         file =  as.numeric(str_extract(file, "\\d+")),
         video_replicate = file) %>%
  select(time_point,
         day,
         video_replicate,
         file,
         id,
         N_frames,
         mean_area)

ds_individuals_t0_elongated = ds_individuals_t0_not_elongated %>%
  map_dfr(.x = 1 : nrow(culture_info),
          .f = ~ ds_individuals_t0_not_elongated) %>% 
  arrange(id) %>% #Id refers to an individual
  mutate(culture_ID = rep(1 : nrow(culture_info),
                          times = nrow(ds_individuals_t0_not_elongated))) %>%
  select(time_point,
         day,
         video_replicate,
         file,
         culture_ID,
         id,
         N_frames,
         mean_area)

expect_equal(nrow(ds_individuals_t0_not_elongated) * nrow(culture_info),
             nrow(ds_individuals_t0_elongated))
#Import t1-t4

ds_individuals_t1_to_t4 = NULL
  
for (time_point_i in time_points_without_t0) {
  
  ds_individuals_t1_to_t4[[time_point_i]] = read.csv(here("data", 
                                                              "individuals", 
                                                              paste0("t", 
                                                                     time_point_i, 
                                                                     ".csv"))) %>%
    mutate(time_point =  as.numeric(str_extract(time_point, "\\d+")),
           day = time_point_day$day[time_point_day$time_point == time_point_i],
           file =  as.numeric(str_extract(file, "\\d+")),
           video_replicate = ceiling(file/n_cultures)) #Until 110 video replicate = 1, then 2
  }

ds_individuals_t1_to_t4 = ds_individuals_t1_to_t4 %>%
  bind_rows() %>%
  select(time_point,
         day,
         video_replicate,
         file,
         culture_ID,
         id,
         N_frames,
         mean_area)
# Bind t0 with t1-t4

ds_individuals = rbind(ds_individuals_t0_elongated,
                       ds_individuals_t1_to_t4) %>%
  left_join(culture_info,
            by = "culture_ID") 
# Rename and select columns

ds_individuals = ds_individuals %>% 
  select(
    disturbance,
    disturbance_volume,
    time_point,
    day,
    video_replicate,
    culture_ID,
    system_nr,
    file,
    eco_metaeco_type,
    patch_size,
    patch_size_volume,
    metaecosystem,
    metaecosystem_type,
    mean_area,
    N_frames
  ) %>%
  rename(patch_size_ml = patch_size_volume,
         patch_type = eco_metaeco_type,
         body_area_µm2 = mean_area)
# Rename and reorder levels

ds_individuals <- ds_individuals %>%
  mutate(patch_type = case_when(patch_type == "S" ~ "Small isolated",
                                patch_type == "M" ~ "Medium isolated",
                                patch_type == "L" ~ "Large isolated",
                                patch_type == "S (S_S)" ~ "Small connected to small",
                                patch_type == "S (S_L)" ~ "Small connected to large",
                                patch_type == "M (M_M)" ~ "Medium connected to medium",
                                patch_type == "L (S_L)" ~ "Large connected to small",
                                patch_type == "L (L_L)" ~ "Large connected to large",
                                TRUE ~ patch_type),
         patch_type = factor(patch_type,
                             levels = patch_types_ordered))

ds_individuals <- ds_individuals %>%
  mutate(patch_size = case_when(patch_size == "S" ~ "Small",
                                patch_size == "M" ~ "Medium",
                                patch_size == "L" ~ "Large",
                                TRUE ~ patch_type),
         patch_size = factor(patch_size,
                             levels = "Small", 
                                      "Medium", 
                                      "Large"))

ds_individuals <- ds_individuals %>%
  mutate(size_connected_patch = case_when(patch_type == "Small connected to small" ~ "Small",
                                          patch_type == "Small connected to large" ~ "Large",
                                          patch_type == "Medium connected to medium" ~ "Medium",
                                          patch_type == "Large connected to large" ~ "Large",
                                          patch_type == "Large connected to small" ~ "Small",
                                          TRUE ~ NA_character_))
# Take off problematic videos

ds_individuals_before_taking_off_videos = ds_individuals

ds_individuals = ds_individuals %>%
  filter(!(time_point %in% videos_to_take_off$time_point & file %in% videos_to_take_off$file))

diff = setdiff(ds_individuals_before_taking_off_videos, ds_individuals)

expect_equal(nrow(videos_to_take_off),
             nrow(expand.grid(diff$culture_ID, diff$time_point, diff$file) %>% unique()))
# Take off problematic cultures 

ds_individuals_before_taking_off_cultures = ds_individuals

ds_individuals = ds_individuals %>%
  filter(!culture_ID %in% patches_to_take_off)

expect_equal(setdiff(ds_individuals_before_taking_off_cultures, 
                     ds_individuals) %>% 
               pull(culture_ID) %>% 
               unique(),
             patches_to_take_off)

Patches (ds_patches)

In this dataset (ds_patches) each row represents a patch at a time point. I use the data from the 40 threshold analysis for Ble, Cep, Spi and the data from the 13 threshold analysis for all the other protists (Col, Eup, Lox, Pau, Pca, Spi te, Tet).

# Import & bind t0 datasets.

ds_patches_t0 = read.csv(here("data", "populations", "t0.csv")) %>%
  mutate(time_point =  as.numeric(str_extract(time_point, "\\d+")),
         day = 0,
         video_replicate = file) %>%
  select(time_point,
         day,
         video_replicate,
         file,
         bioarea_per_volume,
         indiv_per_volume)

species_ID_13_threshold_t0 = read.csv(here("data", "species_ID_13_threshold", paste0("t0.csv"))) %>%
  rename(Ble_indiv_per_volume = Ble,
         Cep_indiv_per_volume = Cep,
         Col_indiv_per_volume = Col,
         Eug_indiv_per_volume = Eug,
         Eup_indiv_per_volume = Eup,
         Lox_indiv_per_volume = Lox,
         Pau_indiv_per_volume = Pau,
         Pca_indiv_per_volume = Pca,
         Spi_indiv_per_volume = Spi,
         Spi_te_indiv_per_volume = Spi_te,
         Tet_indiv_per_volume = Tet) %>%
  select(file,
         all_of(species_IDD_with_13_threshold_indiv_per_volume))

species_ID_40_threshold_t0 = read.csv(here("data", "species_ID_40_threshold", paste0("t0.csv"))) %>%
  rename(Ble_indiv_per_volume = Ble,
         Cep_indiv_per_volume = Cep,
         Col_indiv_per_volume = Col,
         Eug_indiv_per_volume = Eug,
         Eup_indiv_per_volume = Eup,
         Lox_indiv_per_volume = Lox,
         Pau_indiv_per_volume = Pau,
         Pca_indiv_per_volume = Pca,
         Spi_indiv_per_volume = Spi,
         Spi_te_indiv_per_volume = Spi_te,
         Tet_indiv_per_volume = Tet) %>%
  select(file,
         all_of(species_IDD_with_40_threshold_indiv_per_volume))

ds_patches_t0 = ds_patches_t0 %>%
  left_join(species_ID_13_threshold_t0,
            by = "file") %>%
  left_join(species_ID_40_threshold_t0,
            by = "file") %>%
  mutate(file =  as.numeric(str_extract(file, "\\d+")))
# Elongate t0 dataset.

ds_patches_t0_elongated <- list()

for (video_i in 1 : n_videos_taken_t0) {
  
  single_video = ds_patches_t0 %>%
    filter(file == video_i)
  
  ds_patches_t0_elongated[[video_i]] = culture_info %>%
    mutate(
      time_point = 0,
      day = 0,
      file = single_video$file,
      video_replicate = single_video$video_replicate,
      bioarea_per_volume = single_video$bioarea_per_volume,
      indiv_per_volume = single_video$indiv_per_volume,
      Ble_indiv_per_volume = single_video$Ble_indiv_per_volume,
      Cep_indiv_per_volume = single_video$Cep_indiv_per_volume,
      Col_indiv_per_volume = single_video$Col_indiv_per_volume,
      Eug_indiv_per_volume = single_video$Eug_indiv_per_volume,
      Eup_indiv_per_volume = single_video$Eup_indiv_per_volume,
      Lox_indiv_per_volume = single_video$Lox_indiv_per_volume,
      Pau_indiv_per_volume = single_video$Pau_indiv_per_volume,
      Pca_indiv_per_volume = single_video$Pca_indiv_per_volume,
      Spi_indiv_per_volume = single_video$Spi_indiv_per_volume,
      Spi_te_indiv_per_volume = single_video$Spi_te_indiv_per_volume,
      Tet_indiv_per_volume = single_video$Tet_indiv_per_volume)
}

ds_patches_t0_elongated = ds_patches_t0_elongated %>%
  bind_rows()
# Clean the columns of t0

ds_patches_t0 = ds_patches_t0_elongated %>%
  select(
    file,
    time_point,
    day,
    culture_ID,
    video_replicate,
    bioarea_per_volume,
    indiv_per_volume,
    all_of(protist_species_indiv_per_volume))

expect_equal(nrow(ds_patches_t0), sum(n_videos_taken_t0 * n_cultures))
# Import and bind t1-t4

ds_patches_t1_to_t4 = NULL

for (time_point_i in time_points_without_t0) {
  
  species_ID_13_threshold = read.csv(here("data", 
                                          "species_ID_13_threshold", 
                                          paste0("t", time_point_i, ".csv"))) %>%
    rename(Ble_indiv_per_volume = Ble,
         Cep_indiv_per_volume = Cep,
         Col_indiv_per_volume = Col,
         Eug_indiv_per_volume = Eug,
         Eup_indiv_per_volume = Eup,
         Lox_indiv_per_volume = Lox,
         Pau_indiv_per_volume = Pau,
         Pca_indiv_per_volume = Pca,
         Spi_indiv_per_volume = Spi,
         Spi_te_indiv_per_volume = Spi_te,
         Tet_indiv_per_volume = Tet) %>%
    select(file,
           all_of(species_IDD_with_13_threshold_indiv_per_volume))
  
  
  species_ID_40_threshold = read.csv(here("data", 
                                          "species_ID_40_threshold", 
                                          paste0("t", time_point_i, ".csv"))) %>%
    rename(Ble_indiv_per_volume = Ble,
         Cep_indiv_per_volume = Cep,
         Col_indiv_per_volume = Col,
         Eug_indiv_per_volume = Eug,
         Eup_indiv_per_volume = Eup,
         Lox_indiv_per_volume = Lox,
         Pau_indiv_per_volume = Pau,
         Pca_indiv_per_volume = Pca,
         Spi_indiv_per_volume = Spi,
         Spi_te_indiv_per_volume = Spi_te,
         Tet_indiv_per_volume = Tet) %>%
    select(file,
           all_of(species_IDD_with_40_threshold_indiv_per_volume))
  
  
  ds_patches_t1_to_t4[[time_point_i]] = read.csv(here("data", 
                                                      "populations", 
                                                      paste0("t", time_point_i, ".csv"))) %>%
    arrange(file) %>%
    mutate(video_replicate = rep(1 : time_point_day$video_replicates[time_point_i+1],
                                 each = n_cultures),
           day = time_point_day$day[time_point_day$time_point == time_point_i]) %>%
    select(
      file,
      time_point,
      day,
      video_replicate,
      file,
      culture_ID,
      bioarea_per_volume,
      indiv_per_volume)
  
  ds_patches_t1_to_t4[[time_point_i]] = ds_patches_t1_to_t4[[time_point_i]] %>%
    left_join(species_ID_13_threshold,
                by = "file") %>%
    left_join(species_ID_40_threshold,
                by = "file")
    
}

ds_patches_t1_to_t4 = ds_patches_t1_to_t4 %>%
  bind_rows()
# Bind t0 with t1-t4

ds_patches = rbind(ds_patches_t0,
                   ds_patches_t1_to_t4) %>%
             left_join(culture_info,
                       by = "culture_ID") 
    
expect_equal(nrow(ds_patches),
             sum(sum(time_point_day$video_replicates) * n_cultures))
# Reorder and rename columns

ds_patches = ds_patches %>%
  rename(patch_size_ml = patch_size_volume) %>%
  select(
    file,
    time_point,
    day,
    disturbance,
    culture_ID,
    system_nr,
    eco_metaeco_type,
    patch_size,
    patch_size_ml,
    metaecosystem,
    metaecosystem_type,
    video_replicate,
    bioarea_per_volume,
    indiv_per_volume,
    all_of(protist_species_indiv_per_volume)
  ) %>%
  rename(patch_type = eco_metaeco_type,
         bioarea_µm2_per_μL = bioarea_per_volume) %>%
  rename_all( ~ gsub("volume", "μL", .))
# Rename and reorder levels

ds_patches <- ds_patches %>%
  mutate(
    patch_type = case_when(
      patch_type == "S" ~ "Small isolated",
      patch_type == "M" ~ "Medium isolated",
      patch_type == "L" ~ "Large isolated",
      patch_type == "S (S_S)" ~ "Small connected to small",
      patch_type == "S (S_L)" ~ "Small connected to large",
      patch_type == "M (M_M)" ~ "Medium connected to medium",
      patch_type == "L (S_L)" ~ "Large connected to small",
      patch_type == "L (L_L)" ~ "Large connected to large",
      TRUE ~ patch_type
    ),
    patch_type = factor(x = patch_type,
                        levels = patch_types_ordered),
    patch_size = case_when(
      patch_size == "S" ~ "Small",
      patch_size == "M" ~ "Medium",
      patch_size == "L" ~ "Large",
      TRUE ~ patch_size
    ),
    metaecosystem_type = case_when(
      metaecosystem_type == "S_S" ~ "Small-Small meta-ecosystem",
      metaecosystem_type == "M_M" ~ "Medium-Medium meta-ecosystem",
      metaecosystem_type == "L_L" ~ "Large-Large meta-ecosystem",
      metaecosystem_type == "S_L" ~ "Small-Large meta-ecosystem",
      TRUE ~ metaecosystem_type
    ),
    size_connected_patch = case_when(
      patch_type == "Small connected to small" ~ "Small",
      patch_type == "Small connected to large" ~ "Large",
      patch_type == "Medium connected to medium" ~ "Medium",
      patch_type == "Large connected to large" ~ "Large",
      patch_type == "Large connected to small" ~ "Small",
      TRUE ~ NA_character_
      ),
    time_point =  as.numeric(str_extract(time_point, "\\d+")),
    file =  as.numeric(str_extract(file, "\\d+")),
  )
# Change units of measurments to ml

ds_patches = ds_patches %>%
  mutate(bioarea_µm2_per_ml = bioarea_µm2_per_μL * 10^3,
         bioarea_mm2_per_ml = bioarea_µm2_per_ml * 10^(-6),
         Ble_indiv_per_ml = Ble_indiv_per_μL * 10^3,
         Cep_indiv_per_ml = Cep_indiv_per_μL * 10^3,
         Col_indiv_per_ml = Col_indiv_per_μL * 10^3,
         Eug_indiv_per_ml = Eug_indiv_per_μL * 10^3,
         Eup_indiv_per_ml = Eup_indiv_per_μL * 10^3,
         Lox_indiv_per_ml = Lox_indiv_per_μL * 10^3,
         Pau_indiv_per_ml = Pau_indiv_per_μL * 10^3,
         Pca_indiv_per_ml = Pca_indiv_per_μL * 10^3,
         Spi_indiv_per_ml = Spi_indiv_per_μL * 10^3,
         Spi_te_indiv_per_ml = Spi_te_indiv_per_μL * 10^3,
         Tet_indiv_per_ml = Tet_indiv_per_μL * 10^3)
# Take off problematic videos

ds_patches_before_taking_off_videos = ds_patches

ds_patches = ds_patches %>%
  filter(!(time_point %in% videos_to_take_off$time_point & file %in% videos_to_take_off$file))

diff = setdiff(ds_patches_before_taking_off_videos, ds_patches)

expect_equal(nrow(videos_to_take_off),
             nrow(expand.grid(diff$culture_ID, diff$time_point, diff$file) %>% unique()))
# Take off problematic cultures 

ds_patches_before_taking_off_cultures = ds_patches

ds_patches = ds_patches %>%
  filter(!culture_ID %in% patches_to_take_off)

expect_equal(setdiff(ds_patches_before_taking_off_cultures, 
                     ds_patches) %>% 
               pull(culture_ID) %>% 
               unique(),
             patches_to_take_off)
# Average videos

ds_patches = ds_patches %>%
  group_by(across(all_of(columns_patches))) %>%
  summarise(across(contains("_per_ml"), mean),
            across(contains("_tot"), mean)) %>%
  ungroup()

expect_equal(nrow(ds_patches), 
             (n_cultures - length(patches_to_take_off)) * length(time_points))
# Add connection and individuals

ds_patches = ds_patches %>%
  mutate(indiv_per_ml = !!rlang::parse_expr(paste(protist_species_indiv_per_ml, 
                                                  collapse = " + ")))

ds_patches = ds_patches %>%
  mutate(connection = ifelse(str_detect(patch_type, "isolated"), 
                             "isolated", 
                             "connected"),
         connection = factor(x = connection,
                        levels = c("isolated", "connected")))
# Calculate total response variable for the whole patch

ds_patches = ds_patches %>%
  mutate(bioarea_tot_mm2 = bioarea_mm2_per_ml * patch_size_ml,
         indiv_tot = indiv_per_ml * patch_size_ml,
         Ble_tot_indiv = Ble_indiv_per_ml * patch_size_ml,
         Cep_tot_indiv = Cep_indiv_per_ml * patch_size_ml,
         Col_tot_indiv = Col_indiv_per_ml * patch_size_ml,
         Eug_tot_indiv = Eug_indiv_per_ml * patch_size_ml,
         Eup_tot_indiv = Eup_indiv_per_ml * patch_size_ml,
         Lox_tot_indiv = Lox_indiv_per_ml * patch_size_ml,
         Pau_tot_indiv = Pau_indiv_per_ml * patch_size_ml,
         Pca_tot_indiv = Pca_indiv_per_ml * patch_size_ml,
         Spi_tot_indiv = Spi_indiv_per_ml * patch_size_ml,
         Spi_te_tot_indiv = Spi_te_indiv_per_ml * patch_size_ml,
         Tet_tot_indiv = Tet_indiv_per_ml * patch_size_ml)
# Calculate species dominance

ds_patches = ds_patches %>%
  mutate(across(.cols = all_of(protist_species_indiv_per_ml), 
                .fns = list(dominance = ~ (. / indiv_per_ml) * 100), 
                .names = "{col}_dominance"))

expect_equal(unique(ds_patches$Ble_indiv_per_ml_dominance[ds_patches$indiv_per_ml == 0]), NaN)

if (FALSE %in% unique((ds_patches$Ble_indiv_per_ml/ds_patches$indiv_per_ml) *100 == ds_patches$Ble_indiv_per_ml_dominance)) stop()
# Calculate alpha diversity (Shannon, Simpson, Inverse Simpson, Evenness)

n_rows_ds_patches_before_calculating_alpha = nrow(ds_patches)

ds_patches = calculate.alpha.diversity()

expect_equal(max(ds_patches$species_richness), 
             length(protist_species))

expect_equal(nrow(ds_patches),
             n_rows_ds_patches_before_calculating_alpha)
# Calculate median body size

n_rows_ds_patches_before_median_size = nrow(ds_patches)

ds_median_body_size = ds_individuals %>%
  group_by(time_point,
           culture_ID,
           file) %>%
  summarise(median_body_area_µm2 = median(body_area_µm2)) %>%
  group_by(time_point,
           culture_ID) %>%
  summarise(median_body_area_µm2 = mean(median_body_area_µm2))

expect_true(nrow(ds_median_body_size) <= nrow(ds_patches)) #Ds median body size could be less because some cultures might be crashed and not have any individual.

ds_patches_before_full_join = ds_patches

ds_patches = full_join(ds_patches, ds_median_body_size)

expect_equal(nrow(ds_patches), 
             n_rows_ds_patches_before_median_size)

Patch effect sizes (ds_patches_effect_size)

In this dataset (ds_patches_effect_size) each row represents a treatment at a time point. It contains the effect size of the connection of a patch (connected vs isolated).

# Calculate the mean & sd of response variables for each treatment/control at each time point

ds_patches_effect_size = NULL
variable_nr = 0

for (variable_i in variables_patches) {
  
  variable_nr = variable_nr + 1
  
  ds_patches_effect_size[[variable_nr]] = ds_patches %>%
    filter(time_point >= 1,
           !is.na(!!sym(variable_i))) %>%
    group_by(across(all_of(columns_patches[columns_patches != "culture_ID" & 
                                           columns_patches != "system_nr"]))) %>%
    summarise(across(all_of(variable_i),
                     list(mean = mean,
                          sd = sd)),
              sample_size = n()) %>%
    rename_with( ~ paste0(variable_i, "_sample_size"),
                 matches("sample_size"))
  
}

ds_patches_effect_size <- reduce(ds_patches_effect_size,
                                 full_join,
                                 by = columns_patches[columns_patches != "culture_ID" &
                                                        columns_patches != "system_nr"])

expect_equal(nrow(ds_patches_effect_size),
             n_patch_types * (n_time_points-1) * n_disturbance_levels)
# Calculate the effect size (Hedge's d) for each treatment at each time point
  
  for (variable_i in variables_patches) {
    ds_patches_effect_size <- ds_patches_effect_size %>%
      mutate(
        !!paste0(variable_i, "_d") := NA,
        !!paste0(variable_i, "_d_upper") := NA,
        !!paste0(variable_i, "_d_lower") := NA
      )
  }
  
  row_n = 0
  for (treatment_input in treatments_and_controls$treatment) {
    for (time_point_input in time_points) {
      row_n = row_n + 1
      
      control_input = treatments_and_controls$control[
        treatments_and_controls$treatment == treatment_input
        ]
      
      treatment_row = ds_patches_effect_size %>%
        filter(patch_type == treatment_input,
               time_point == time_point_input)
      
      control_row = ds_patches_effect_size %>%
        filter(patch_type == control_input,
               time_point == time_point_input)
      
      for (response_variable in variables_patches) {
        
        hedges_d = calculate.hedges_d(
          treatment_row[[paste0(response_variable, "_mean")]],
          treatment_row[[paste0(response_variable, "_sd")]],
          treatment_row[[paste0(response_variable, "_sample_size")]],
          control_row[[paste0(response_variable, "_mean")]],
          control_row[[paste0(response_variable, "_sd")]],
          control_row[[paste0(response_variable, "_sample_size")]]
        )
        
        ds_patches_effect_size[[paste0(response_variable, "_d")]][
          ds_patches_effect_size$patch_type == treatment_input &
          ds_patches_effect_size$time_point == time_point_input] =
          hedges_d$d
        
        ds_patches_effect_size[[paste0(response_variable, "_d_upper")]][
          ds_patches_effect_size$patch_type == treatment_input &
          ds_patches_effect_size$time_point == time_point_input] =
          hedges_d$upper_CI
        
        ds_patches_effect_size[[paste0(response_variable, "_d_lower")]][
          ds_patches_effect_size$patch_type == treatment_input &
          ds_patches_effect_size$time_point == time_point_input] =
          hedges_d$lower_CI
        
      }
    }
  }

expect_equal(nrow(ds_patches_effect_size),
             n_patch_types * (n_time_points-1) * n_disturbance_levels)

Meta-ecosystems (ds_metaecosystems)

In this dataset (ds_metaecosystems) each row represents a meta-ecosystem or a two-patch isolated system at a time point.

#Find combinations of patches in isolated two-patch systems.

ID_isolated_S_low = ds_patches %>%
  filter(patch_type == "Small isolated",
         disturbance == "low") %>%
  pull(culture_ID) %>%
  unique()

ID_isolated_L_low = ds_patches %>%
  filter(patch_type == "Large isolated",
         disturbance == "low") %>%
  pull(culture_ID) %>%
  unique()

ID_isolated_S_high = ds_patches %>%
  filter(patch_type == "Small isolated",
         disturbance == "high") %>%
  pull(culture_ID) %>%
  unique()

ID_isolated_L_high = ds_patches %>%
  filter(patch_type == "Large isolated",
         disturbance == "high") %>%
  pull(culture_ID) %>%
  unique()

ID_isolated_M_low = ds_patches %>%
  filter(patch_type == "Medium isolated",
         disturbance == "low") %>%
  pull(culture_ID) %>%
  unique()

ID_isolated_M_high = ds_patches %>%
  filter(patch_type == "Medium isolated",
         disturbance == "high") %>%
  pull(culture_ID) %>%
  unique()

combinations_S_and_L_low = crossing(ID_isolated_S_low,
                                    ID_isolated_L_low) %>%
                            mutate(disturbance = "low",
                                   metaecosystem_type = "Small-Large isolated") %>%
                            rename(ID_first_patch = ID_isolated_S_low,
                                   ID_second_patch = ID_isolated_L_low) %>%
                            select(disturbance,
                                   metaecosystem_type,
                                   ID_first_patch,
                                   ID_second_patch)

expect_equal(nrow(combinations_S_and_L_low),
             length(ID_isolated_S_low) * length(ID_isolated_L_low))

combinations_S_and_L_high = crossing(ID_isolated_S_high,
                                     ID_isolated_L_high) %>%
                            mutate(disturbance = "high",
                                   metaecosystem_type = "Small-Large isolated") %>%
                            rename(ID_first_patch = ID_isolated_S_high,
                                   ID_second_patch = ID_isolated_L_high) %>%
                            select(disturbance,
                                   metaecosystem_type,
                                   ID_first_patch,
                                   ID_second_patch)

expect_equal(nrow(combinations_S_and_L_high),
             length(ID_isolated_S_high) * length(ID_isolated_L_high))

combinations_M_and_M_low = combinat::combn(ID_isolated_M_low,
                                   m = 2) %>%
                            t() %>%
                            as.data.frame() %>%
                            rename(ID_first_patch = V1,
                                   ID_second_patch = V2) %>%
                            mutate(disturbance = "low",
                                   metaecosystem_type = "Medium-Medium isolated") %>%
                            select(disturbance,
                                   metaecosystem_type,
                                   ID_first_patch,
                                   ID_second_patch)

expect_equal(nrow(combinations_M_and_M_low),
             sum(seq(length(ID_isolated_M_low) - 1)))

combinations_M_and_M_high = combinat::combn(ID_isolated_M_high,
                                   m = 2) %>%
                            t() %>%
                            as.data.frame() %>%
                            rename(ID_first_patch = V1,
                                   ID_second_patch = V2) %>%
                            mutate(disturbance = "high",
                                   metaecosystem_type = "Medium-Medium isolated") %>%
                            select(disturbance,
                                   metaecosystem_type,
                                   ID_first_patch,
                                   ID_second_patch)

expect_equal(nrow(combinations_M_and_M_high),
             sum(seq(length(ID_isolated_M_high) - 1)))

combinations_isolated_systems = rbind(combinations_S_and_L_low,
                                      combinations_S_and_L_high,
                                      combinations_M_and_M_low,
                                      combinations_M_and_M_high) %>%
  mutate(system_nr = 1001:(1000 + nrow(.))) %>%
  select(system_nr,
         disturbance,
         metaecosystem_type,
         ID_first_patch,
         ID_second_patch)
#Find combinations of patches in meta-ecosystems.

combinations_metaecos = ds_patches %>%
  filter(time_point == 0,
         metaecosystem == "yes") %>%
  select(system_nr,
         disturbance,
         metaecosystem_type,
         culture_ID) %>%
  group_by(system_nr,
           disturbance,
           metaecosystem_type) %>%
  summarise(ID_first_patch = (mean(culture_ID) - 0.5),
            ID_second_patch = (mean(culture_ID) + 0.5)) %>%
  as.data.frame()
#Bind isolated systems and meta-ecosystems

combinations_isolated_n_metaecos = rbind(combinations_isolated_systems,
                                         combinations_metaecos) %>%
  mutate(connection = ifelse(metaecosystem_type %in% c("Medium-Medium isolated",
                                                       "Small-Large isolated"),
                             yes = "isolated",
                             no = "connected"),
         patches_combined = paste0(ID_first_patch, "|", ID_second_patch))

n_patches_combinations = nrow(combinations_isolated_n_metaecos)

expect_equal(nrow(combinations_isolated_n_metaecos), 
             nrow(combinations_isolated_systems) + nrow(combinations_metaecos))
#Create combination sets for SL isolated where each sets contains each patch only one time. To find all combinations where all the patches are included, but only one at the time, I keep the small patches on the same order, but then I perform a permutation of the order in which large patches are arranged and coupled to the small patches.

disturbance_nr = 0
SL_isolated_sys_sets <- vector("list",
                               length(disturbance_levels))

for (disturbance_input in disturbance_levels) {
  concat_permutations_large = NULL
  disturbance_nr = disturbance_nr + 1
  
  #Find culture ID of small and large patches
  ID_small_patches = ds_patches %>%
    filter(disturbance == disturbance_input,
           patch_type == "Small isolated") %>%
    pull(culture_ID) %>%
    unique()
  
  ID_large_patches = ds_patches %>%
    filter(disturbance == disturbance_input,
           patch_type == "Large isolated") %>%
    pull(culture_ID) %>%
    unique()
  
  #Force small and large patches vectors to have the same length
  if (length(ID_large_patches) < length(ID_small_patches)) {
    ID_large_patches = c(ID_large_patches,
                         rep(
                           "Patch taken off",
                           times = length(ID_small_patches) - length(ID_large_patches)
                         ))
  }
  
  if (length(ID_small_patches) < length(ID_large_patches)) {
    ID_small_patches = c(ID_small_patches,
                         rep(
                           "Patch taken off",
                           times = length(ID_large_patches) - length(ID_small_patches)
                         ))
  }
  
  #Create vector with large patches
  permutations_large = permn(ID_large_patches)
  
  for (list_element in 1:length(permutations_large)) {
    concat_permutations_large = c(concat_permutations_large,
                                  permutations_large[[list_element]])
  }
  
  vector_large_patches = concat_permutations_large
  
  #Create vector with small patches
  vector_small_patches = rep(ID_small_patches,
                             times = length(permutations_large))
  
  #Create vector with sets
  vector_sets = rep(1:length(permutations_large),
                    each = length(ID_small_patches))
  
  #Bind vectors together into the isolated SL system sets (SL_isolated_sys_sets)
  SL_isolated_sys_sets[[disturbance_nr]]$ID_small_patches = vector_small_patches
  SL_isolated_sys_sets[[disturbance_nr]]$ID_large_patches = vector_large_patches
  SL_isolated_sys_sets[[disturbance_nr]]$set = vector_sets
  
  expect_equal(
    length(SL_isolated_sys_sets[[disturbance_nr]]$ID_small_patches),
    length(ID_small_patches) * length(permutations_large)
  )
  
  expect_equal(
    length(SL_isolated_sys_sets[[disturbance_nr]]$ID_large_patches),
    length(ID_large_patches) * length(permutations_large)
  )
  
  expect_equal(
    length(SL_isolated_sys_sets[[disturbance_nr]]$set),
    length(ID_small_patches) * length(permutations_large)
  )
  
  #Finalise the dataset with isolated SL system sets (SL_isolated_sys_sets)
  SL_isolated_sys_sets[[disturbance_nr]] = SL_isolated_sys_sets[[disturbance_nr]] %>%
    as.data.frame() %>%
    mutate(
      disturbance = disturbance_input,
      metaecosystem_type = "Small-Large isolated",
      connection = "isolated"
    ) %>%
    rename(ID_first_patch = ID_small_patches,
           ID_second_patch = ID_large_patches) %>%
    select(disturbance,
           metaecosystem_type,
           ID_first_patch,
           ID_second_patch,
           connection,
           set)
  
  expect_equal(
    nrow(SL_isolated_sys_sets[[disturbance_nr]]),
    length(ID_small_patches) * length(permutations_large)
  )
  
  SL_isolated_sys_sets[[disturbance_nr]] = SL_isolated_sys_sets[[disturbance_nr]] %>%
    filter(!ID_first_patch == "Patch taken off",
           !ID_second_patch == "Patch taken off") %>%
    mutate(
      ID_first_patch = as.double(ID_first_patch),
      ID_second_patch = as.double(ID_second_patch)
    )
  
  #Add to the SL_isolated_sys_sets the system nr
  SL_isolated_sys_rows_to_be_joined = combinations_isolated_n_metaecos %>%
    filter(disturbance == disturbance_input,
           metaecosystem_type == "Small-Large isolated")
  
  SL_isolated_sys_sets[[disturbance_nr]] = full_join(SL_isolated_sys_sets[[disturbance_nr]],
                                                     SL_isolated_sys_rows_to_be_joined)
}

#Bind high and low disturbances
SL_isolated_sys_sets_bound = SL_isolated_sys_sets %>%
  bind_rows()

expect_equal(
  nrow(SL_isolated_sys_sets_bound),
  nrow(SL_isolated_sys_sets[[1]]) + nrow(SL_isolated_sys_sets[[2]])
)

expect_equal(
  length(
    SL_isolated_sys_sets_bound %>%
      pull(system_nr) %>%
      unique()
  ),
  length(
    combinations_isolated_n_metaecos %>%
      filter(metaecosystem_type == "Small-Large isolated") %>%
      pull(system_nr) %>%
      unique()
  )
)

#Recall in a better way
SL_isolated_sys_sets = SL_isolated_sys_sets_bound
#Create combination sets for MM isolated where each sets contains each patch only one time. To find all combinations where all the patches are included, but only one at the time, I ... 

disturbance_nr = 0
MM_isolated_sys_sets <- vector("list",
                               length(disturbance_levels))

#Find all the combination sets
for (disturbance_input in disturbance_levels) {
  disturbance_nr = disturbance_nr + 1
  
  #Find culture ID of medium patches
  ID_medium_patches = ds_patches %>%
    filter(disturbance == disturbance_input,
           patch_type == "Medium isolated") %>%
    pull(culture_ID) %>%
    unique()
  
  #Find pairwise combinations
  MM_isolated_sys = combn(ID_medium_patches, 
                             2) %>%
                       t()
  
  n_MM_isolated_sys = nrow(MM_isolated_sys)
  
  #Find all the possible sets of combinations
  MM_isolated_sys_sets[[disturbance_nr]] = matrix(nrow = 10 ^ 4,
                                                  ncol = 4)
  matrix_row = 0
  
  for (first_system_n in 1:n_MM_isolated_sys) {
    #Find culture IDs of the first system
    first_system = MM_isolated_sys[first_system_n, ]
    
    for (second_system_n in 1:n_MM_isolated_sys) {
      #Find culture IDs of the second system
      second_system = MM_isolated_sys[second_system_n, ]
      
      shared_elements_first_n_second_system = intersect(first_system,
                                                        second_system)
      
      if (length(shared_elements_first_n_second_system) == 0) {
        matrix_row = matrix_row + 1
        
        #Make first and second system into a set
        MM_isolated_sys_sets[[disturbance_nr]][matrix_row,] = c(first_system,
                                                                second_system)
        
      }
    }
  }
  
  #Tidy the dataset with all the patch combinations
  MM_isolated_sys_sets[[disturbance_nr]] = MM_isolated_sys_sets[[disturbance_nr]] %>%
    as.data.frame() %>%
    drop_na()
  
  expect_equal(
    MM_isolated_sys_sets[[disturbance_nr]] %>% 
      filter(V1 == V2 | V1 == V3 | V1 == V4 | V2 == V3 | V2 == V4 | V3 == V4) %>% 
      nrow(),
    0
  )
  
  #Reorder the dataset with all the patch combinations
  MM_isolated_sys_sets_reordered = data.frame(
    ID_first_patch = NA,
    ID_second_patch = NA,
    set = NA
  )
  
  n_sets = nrow(MM_isolated_sys_sets[[disturbance_nr]])
  
  for (set_input in 1:n_sets) {
    MM_isolated_sys_sets_reordered = MM_isolated_sys_sets_reordered %>%
      add_row(
        ID_first_patch = MM_isolated_sys_sets[[disturbance_nr]][set_input, 1],
        ID_second_patch = MM_isolated_sys_sets[[disturbance_nr]][set_input, 2],
        set = set_input
      ) %>%
      add_row(
        ID_first_patch = MM_isolated_sys_sets[[disturbance_nr]][set_input, 3],
        ID_second_patch = MM_isolated_sys_sets[[disturbance_nr]][set_input, 4],
        set = set_input
      )
  }
  
  #Add to a list
  MM_isolated_sys_sets[[disturbance_nr]] = MM_isolated_sys_sets_reordered %>%
    drop_na() %>%
    mutate(
      disturbance = disturbance_input,
      metaecosystem_type = "Medium-Medium isolated",
      connection = "isolated"
    )
  
  #Add system nr
  ID_combinations_MM_isolated = combinations_isolated_n_metaecos %>%
    filter(disturbance == disturbance_input,
           metaecosystem_type == "Medium-Medium isolated")
  
  MM_isolated_sys_sets[[disturbance_nr]] = full_join(MM_isolated_sys_sets[[disturbance_nr]],
                                                     ID_combinations_MM_isolated)
  
}

#Bind all sets of MM isolated
MM_isolated_sys_sets = MM_isolated_sys_sets %>%
  bind_rows()

expect_equal(
  length(MM_isolated_sys_sets %>%
           pull(system_nr) %>%
           unique()),
  length(
    combinations_isolated_n_metaecos %>%
      filter(metaecosystem_type == "Medium-Medium isolated") %>%
      pull(system_nr) %>%
      unique()
  )
)
#Bind SL and MM isolated systems
isolated_combinations_sets = rbind(SL_isolated_sys_sets, 
                                   MM_isolated_sys_sets) %>%
  select(disturbance,
         metaecosystem_type,
         connection,
         set,
         system_nr,
         ID_first_patch,
         ID_second_patch)
  • Each row is a meta-ecosystem.

  • It contains also “fake” meta-ecosystems which I created from isolated patches (metaecosystem type = Small-Large isolated & metaecosystem type = Medium-Medium isolated).

  • Warning appear after the following code, as:

  1. alpha diversity is computed for a culture that is totally crashed, so it has not meaning.
  2. beta diversity is computed between a culture that is still alive and one that is totally crashed. Because one of the cultures is totally crashed, the Bray-Curtis index is 1.
#Create the ds_metaecosystem dataset
ds_metaecosystems = create.meatecosystem.ds()
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): missing
## values in results
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "bray"): missing values
## in results
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): missing
## values in results
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "bray"): missing values
## in results
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
## Warning in vegdist(species_vector_two_patches, method = "jaccard"): you have empty rows: their dissimilarities may be
##                  meaningless in method "jaccard"
## Warning in vegdist(species_vector_two_patches, method = "bray"): you have empty rows: their dissimilarities may be
##                  meaningless in method "bray"
expect_equal(nrow(ds_metaecosystems), 
             n_time_points * n_patches_combinations)
#Add column connection
ds_metaecosystems$connection <-
  ifelse(
    ds_metaecosystems$metaecosystem_type %in% c("Medium-Medium isolated",
                                                "Small-Large isolated"),
    yes = "isolated",
    no = "connected"
  )
#Add column patch size symmetry
ds_metaecosystems$patch_size_symmetry <-
  ifelse(
    ds_metaecosystems$metaecosystem_type %in% c("Small-Large isolated",
                                                "Small-Large meta-ecosystem"),
    yes = "asymmetric",
    no = "symmetric"
  )
#Reorder the meta-ecosystems
ds_metaecosystems = ds_metaecosystems %>%
  mutate(metaecosystem_type = factor(metaecosystem_type,
                                     levels = metaecosystem_types_ordered))
#Add baselines. See ds_patches for an explanation. 
baselines <- ds_metaecosystems %>%
  filter(time_point == 1) %>%
  group_by(system_nr) %>%
  summarise(across(all_of(variables_metaecos), .names = "baseline_{.col}"))

n_rows_ds_metaecosystems_before_join = nrow(ds_metaecosystems)

ds_metaecosystems = full_join(ds_metaecosystems, baselines)

expect_equal(nrow(ds_metaecosystems),
             n_rows_ds_metaecosystems_before_join)
#Join ...
full_join(ds_metaecosystems,
          isolated_combinations_sets)
## Warning in full_join(ds_metaecosystems, isolated_combinations_sets): Detected an unexpected many-to-many relationship between `x` and `y`.
## ℹ Row 1 of `x` matches multiple rows in `y`.
## ℹ Row 1 of `y` matches multiple rows in `x`.
## ℹ If a many-to-many relationship is expected, set `relationship =
##   "many-to-many"` to silence this warning.
##      time_point day system_nr patches_combined disturbance   metaecosystem_type
## 1             0   0      1001             1|11         low Small-Large isolated
## 2             0   0      1001             1|11         low Small-Large isolated
## 3             0   0      1001             1|11         low Small-Large isolated
## 4             0   0      1001             1|11         low Small-Large isolated
## 5             0   0      1001             1|11         low Small-Large isolated
## 6             0   0      1001             1|11         low Small-Large isolated
## 7             0   0      1001             1|11         low Small-Large isolated
## 8             0   0      1001             1|11         low Small-Large isolated
## 9             0   0      1001             1|11         low Small-Large isolated
## 10            0   0      1001             1|11         low Small-Large isolated
## 11            0   0      1001             1|11         low Small-Large isolated
## 12            0   0      1001             1|11         low Small-Large isolated
## 13            0   0      1001             1|11         low Small-Large isolated
## 14            0   0      1001             1|11         low Small-Large isolated
## 15            0   0      1001             1|11         low Small-Large isolated
## 16            0   0      1001             1|11         low Small-Large isolated
## 17            0   0      1001             1|11         low Small-Large isolated
## 18            0   0      1001             1|11         low Small-Large isolated
## 19            0   0      1001             1|11         low Small-Large isolated
## 20            0   0      1001             1|11         low Small-Large isolated
## 21            0   0      1001             1|11         low Small-Large isolated
## 22            0   0      1001             1|11         low Small-Large isolated
## 23            0   0      1001             1|11         low Small-Large isolated
## 24            0   0      1001             1|11         low Small-Large isolated
## 25            1   4      1001             1|11         low Small-Large isolated
## 26            1   4      1001             1|11         low Small-Large isolated
## 27            1   4      1001             1|11         low Small-Large isolated
## 28            1   4      1001             1|11         low Small-Large isolated
## 29            1   4      1001             1|11         low Small-Large isolated
## 30            1   4      1001             1|11         low Small-Large isolated
## 31            1   4      1001             1|11         low Small-Large isolated
## 32            1   4      1001             1|11         low Small-Large isolated
## 33            1   4      1001             1|11         low Small-Large isolated
## 34            1   4      1001             1|11         low Small-Large isolated
## 35            1   4      1001             1|11         low Small-Large isolated
## 36            1   4      1001             1|11         low Small-Large isolated
## 37            1   4      1001             1|11         low Small-Large isolated
## 38            1   4      1001             1|11         low Small-Large isolated
## 39            1   4      1001             1|11         low Small-Large isolated
## 40            1   4      1001             1|11         low Small-Large isolated
## 41            1   4      1001             1|11         low Small-Large isolated
## 42            1   4      1001             1|11         low Small-Large isolated
## 43            1   4      1001             1|11         low Small-Large isolated
## 44            1   4      1001             1|11         low Small-Large isolated
## 45            1   4      1001             1|11         low Small-Large isolated
## 46            1   4      1001             1|11         low Small-Large isolated
## 47            1   4      1001             1|11         low Small-Large isolated
## 48            1   4      1001             1|11         low Small-Large isolated
## 49            2   8      1001             1|11         low Small-Large isolated
## 50            2   8      1001             1|11         low Small-Large isolated
## 51            2   8      1001             1|11         low Small-Large isolated
## 52            2   8      1001             1|11         low Small-Large isolated
## 53            2   8      1001             1|11         low Small-Large isolated
## 54            2   8      1001             1|11         low Small-Large isolated
## 55            2   8      1001             1|11         low Small-Large isolated
## 56            2   8      1001             1|11         low Small-Large isolated
## 57            2   8      1001             1|11         low Small-Large isolated
## 58            2   8      1001             1|11         low Small-Large isolated
## 59            2   8      1001             1|11         low Small-Large isolated
## 60            2   8      1001             1|11         low Small-Large isolated
## 61            2   8      1001             1|11         low Small-Large isolated
## 62            2   8      1001             1|11         low Small-Large isolated
## 63            2   8      1001             1|11         low Small-Large isolated
## 64            2   8      1001             1|11         low Small-Large isolated
## 65            2   8      1001             1|11         low Small-Large isolated
## 66            2   8      1001             1|11         low Small-Large isolated
## 67            2   8      1001             1|11         low Small-Large isolated
## 68            2   8      1001             1|11         low Small-Large isolated
## 69            2   8      1001             1|11         low Small-Large isolated
## 70            2   8      1001             1|11         low Small-Large isolated
## 71            2   8      1001             1|11         low Small-Large isolated
## 72            2   8      1001             1|11         low Small-Large isolated
## 73            3  12      1001             1|11         low Small-Large isolated
## 74            3  12      1001             1|11         low Small-Large isolated
## 75            3  12      1001             1|11         low Small-Large isolated
## 76            3  12      1001             1|11         low Small-Large isolated
## 77            3  12      1001             1|11         low Small-Large isolated
## 78            3  12      1001             1|11         low Small-Large isolated
## 79            3  12      1001             1|11         low Small-Large isolated
## 80            3  12      1001             1|11         low Small-Large isolated
## 81            3  12      1001             1|11         low Small-Large isolated
## 82            3  12      1001             1|11         low Small-Large isolated
## 83            3  12      1001             1|11         low Small-Large isolated
## 84            3  12      1001             1|11         low Small-Large isolated
## 85            3  12      1001             1|11         low Small-Large isolated
## 86            3  12      1001             1|11         low Small-Large isolated
## 87            3  12      1001             1|11         low Small-Large isolated
## 88            3  12      1001             1|11         low Small-Large isolated
## 89            3  12      1001             1|11         low Small-Large isolated
## 90            3  12      1001             1|11         low Small-Large isolated
## 91            3  12      1001             1|11         low Small-Large isolated
## 92            3  12      1001             1|11         low Small-Large isolated
## 93            3  12      1001             1|11         low Small-Large isolated
## 94            3  12      1001             1|11         low Small-Large isolated
## 95            3  12      1001             1|11         low Small-Large isolated
## 96            3  12      1001             1|11         low Small-Large isolated
## 97            4  16      1001             1|11         low Small-Large isolated
## 98            4  16      1001             1|11         low Small-Large isolated
## 99            4  16      1001             1|11         low Small-Large isolated
## 100           4  16      1001             1|11         low Small-Large isolated
## 101           4  16      1001             1|11         low Small-Large isolated
## 102           4  16      1001             1|11         low Small-Large isolated
## 103           4  16      1001             1|11         low Small-Large isolated
## 104           4  16      1001             1|11         low Small-Large isolated
## 105           4  16      1001             1|11         low Small-Large isolated
## 106           4  16      1001             1|11         low Small-Large isolated
## 107           4  16      1001             1|11         low Small-Large isolated
## 108           4  16      1001             1|11         low Small-Large isolated
## 109           4  16      1001             1|11         low Small-Large isolated
## 110           4  16      1001             1|11         low Small-Large isolated
## 111           4  16      1001             1|11         low Small-Large isolated
## 112           4  16      1001             1|11         low Small-Large isolated
## 113           4  16      1001             1|11         low Small-Large isolated
## 114           4  16      1001             1|11         low Small-Large isolated
## 115           4  16      1001             1|11         low Small-Large isolated
## 116           4  16      1001             1|11         low Small-Large isolated
## 117           4  16      1001             1|11         low Small-Large isolated
## 118           4  16      1001             1|11         low Small-Large isolated
## 119           4  16      1001             1|11         low Small-Large isolated
## 120           4  16      1001             1|11         low Small-Large isolated
## 121           5  20      1001             1|11         low Small-Large isolated
## 122           5  20      1001             1|11         low Small-Large isolated
## 123           5  20      1001             1|11         low Small-Large isolated
## 124           5  20      1001             1|11         low Small-Large isolated
## 125           5  20      1001             1|11         low Small-Large isolated
## 126           5  20      1001             1|11         low Small-Large isolated
## 127           5  20      1001             1|11         low Small-Large isolated
## 128           5  20      1001             1|11         low Small-Large isolated
## 129           5  20      1001             1|11         low Small-Large isolated
## 130           5  20      1001             1|11         low Small-Large isolated
## 131           5  20      1001             1|11         low Small-Large isolated
## 132           5  20      1001             1|11         low Small-Large isolated
## 133           5  20      1001             1|11         low Small-Large isolated
## 134           5  20      1001             1|11         low Small-Large isolated
## 135           5  20      1001             1|11         low Small-Large isolated
## 136           5  20      1001             1|11         low Small-Large isolated
## 137           5  20      1001             1|11         low Small-Large isolated
## 138           5  20      1001             1|11         low Small-Large isolated
## 139           5  20      1001             1|11         low Small-Large isolated
## 140           5  20      1001             1|11         low Small-Large isolated
## 141           5  20      1001             1|11         low Small-Large isolated
## 142           5  20      1001             1|11         low Small-Large isolated
## 143           5  20      1001             1|11         low Small-Large isolated
## 144           5  20      1001             1|11         low Small-Large isolated
## 145           6  24      1001             1|11         low Small-Large isolated
## 146           6  24      1001             1|11         low Small-Large isolated
## 147           6  24      1001             1|11         low Small-Large isolated
## 148           6  24      1001             1|11         low Small-Large isolated
## 149           6  24      1001             1|11         low Small-Large isolated
## 150           6  24      1001             1|11         low Small-Large isolated
## 151           6  24      1001             1|11         low Small-Large isolated
## 152           6  24      1001             1|11         low Small-Large isolated
## 153           6  24      1001             1|11         low Small-Large isolated
## 154           6  24      1001             1|11         low Small-Large isolated
## 155           6  24      1001             1|11         low Small-Large isolated
## 156           6  24      1001             1|11         low Small-Large isolated
## 157           6  24      1001             1|11         low Small-Large isolated
## 158           6  24      1001             1|11         low Small-Large isolated
## 159           6  24      1001             1|11         low Small-Large isolated
## 160           6  24      1001             1|11         low Small-Large isolated
## 161           6  24      1001             1|11         low Small-Large isolated
## 162           6  24      1001             1|11         low Small-Large isolated
## 163           6  24      1001             1|11         low Small-Large isolated
## 164           6  24      1001             1|11         low Small-Large isolated
## 165           6  24      1001             1|11         low Small-Large isolated
## 166           6  24      1001             1|11         low Small-Large isolated
## 167           6  24      1001             1|11         low Small-Large isolated
## 168           6  24      1001             1|11         low Small-Large isolated
## 169           7  28      1001             1|11         low Small-Large isolated
## 170           7  28      1001             1|11         low Small-Large isolated
## 171           7  28      1001             1|11         low Small-Large isolated
## 172           7  28      1001             1|11         low Small-Large isolated
## 173           7  28      1001             1|11         low Small-Large isolated
## 174           7  28      1001             1|11         low Small-Large isolated
## 175           7  28      1001             1|11         low Small-Large isolated
## 176           7  28      1001             1|11         low Small-Large isolated
## 177           7  28      1001             1|11         low Small-Large isolated
## 178           7  28      1001             1|11         low Small-Large isolated
## 179           7  28      1001             1|11         low Small-Large isolated
## 180           7  28      1001             1|11         low Small-Large isolated
## 181           7  28      1001             1|11         low Small-Large isolated
## 182           7  28      1001             1|11         low Small-Large isolated
## 183           7  28      1001             1|11         low Small-Large isolated
## 184           7  28      1001             1|11         low Small-Large isolated
## 185           7  28      1001             1|11         low Small-Large isolated
## 186           7  28      1001             1|11         low Small-Large isolated
## 187           7  28      1001             1|11         low Small-Large isolated
## 188           7  28      1001             1|11         low Small-Large isolated
## 189           7  28      1001             1|11         low Small-Large isolated
## 190           7  28      1001             1|11         low Small-Large isolated
## 191           7  28      1001             1|11         low Small-Large isolated
## 192           7  28      1001             1|11         low Small-Large isolated
## 193           0   0      1002             1|12         low Small-Large isolated
## 194           0   0      1002             1|12         low Small-Large isolated
## 195           0   0      1002             1|12         low Small-Large isolated
## 196           0   0      1002             1|12         low Small-Large isolated
## 197           0   0      1002             1|12         low Small-Large isolated
## 198           0   0      1002             1|12         low Small-Large isolated
## 199           0   0      1002             1|12         low Small-Large isolated
## 200           0   0      1002             1|12         low Small-Large isolated
## 201           0   0      1002             1|12         low Small-Large isolated
## 202           0   0      1002             1|12         low Small-Large isolated
## 203           0   0      1002             1|12         low Small-Large isolated
## 204           0   0      1002             1|12         low Small-Large isolated
## 205           0   0      1002             1|12         low Small-Large isolated
## 206           0   0      1002             1|12         low Small-Large isolated
## 207           0   0      1002             1|12         low Small-Large isolated
## 208           0   0      1002             1|12         low Small-Large isolated
## 209           0   0      1002             1|12         low Small-Large isolated
## 210           0   0      1002             1|12         low Small-Large isolated
## 211           0   0      1002             1|12         low Small-Large isolated
## 212           0   0      1002             1|12         low Small-Large isolated
## 213           0   0      1002             1|12         low Small-Large isolated
## 214           0   0      1002             1|12         low Small-Large isolated
## 215           0   0      1002             1|12         low Small-Large isolated
## 216           0   0      1002             1|12         low Small-Large isolated
## 217           1   4      1002             1|12         low Small-Large isolated
## 218           1   4      1002             1|12         low Small-Large isolated
## 219           1   4      1002             1|12         low Small-Large isolated
## 220           1   4      1002             1|12         low Small-Large isolated
## 221           1   4      1002             1|12         low Small-Large isolated
## 222           1   4      1002             1|12         low Small-Large isolated
## 223           1   4      1002             1|12         low Small-Large isolated
## 224           1   4      1002             1|12         low Small-Large isolated
## 225           1   4      1002             1|12         low Small-Large isolated
## 226           1   4      1002             1|12         low Small-Large isolated
## 227           1   4      1002             1|12         low Small-Large isolated
## 228           1   4      1002             1|12         low Small-Large isolated
## 229           1   4      1002             1|12         low Small-Large isolated
## 230           1   4      1002             1|12         low Small-Large isolated
## 231           1   4      1002             1|12         low Small-Large isolated
## 232           1   4      1002             1|12         low Small-Large isolated
## 233           1   4      1002             1|12         low Small-Large isolated
## 234           1   4      1002             1|12         low Small-Large isolated
## 235           1   4      1002             1|12         low Small-Large isolated
## 236           1   4      1002             1|12         low Small-Large isolated
## 237           1   4      1002             1|12         low Small-Large isolated
## 238           1   4      1002             1|12         low Small-Large isolated
## 239           1   4      1002             1|12         low Small-Large isolated
## 240           1   4      1002             1|12         low Small-Large isolated
## 241           2   8      1002             1|12         low Small-Large isolated
## 242           2   8      1002             1|12         low Small-Large isolated
## 243           2   8      1002             1|12         low Small-Large isolated
## 244           2   8      1002             1|12         low Small-Large isolated
## 245           2   8      1002             1|12         low Small-Large isolated
## 246           2   8      1002             1|12         low Small-Large isolated
## 247           2   8      1002             1|12         low Small-Large isolated
## 248           2   8      1002             1|12         low Small-Large isolated
## 249           2   8      1002             1|12         low Small-Large isolated
## 250           2   8      1002             1|12         low Small-Large isolated
## 251           2   8      1002             1|12         low Small-Large isolated
## 252           2   8      1002             1|12         low Small-Large isolated
## 253           2   8      1002             1|12         low Small-Large isolated
## 254           2   8      1002             1|12         low Small-Large isolated
## 255           2   8      1002             1|12         low Small-Large isolated
## 256           2   8      1002             1|12         low Small-Large isolated
## 257           2   8      1002             1|12         low Small-Large isolated
## 258           2   8      1002             1|12         low Small-Large isolated
## 259           2   8      1002             1|12         low Small-Large isolated
## 260           2   8      1002             1|12         low Small-Large isolated
## 261           2   8      1002             1|12         low Small-Large isolated
## 262           2   8      1002             1|12         low Small-Large isolated
## 263           2   8      1002             1|12         low Small-Large isolated
## 264           2   8      1002             1|12         low Small-Large isolated
## 265           3  12      1002             1|12         low Small-Large isolated
## 266           3  12      1002             1|12         low Small-Large isolated
## 267           3  12      1002             1|12         low Small-Large isolated
## 268           3  12      1002             1|12         low Small-Large isolated
## 269           3  12      1002             1|12         low Small-Large isolated
## 270           3  12      1002             1|12         low Small-Large isolated
## 271           3  12      1002             1|12         low Small-Large isolated
## 272           3  12      1002             1|12         low Small-Large isolated
## 273           3  12      1002             1|12         low Small-Large isolated
## 274           3  12      1002             1|12         low Small-Large isolated
## 275           3  12      1002             1|12         low Small-Large isolated
## 276           3  12      1002             1|12         low Small-Large isolated
## 277           3  12      1002             1|12         low Small-Large isolated
## 278           3  12      1002             1|12         low Small-Large isolated
## 279           3  12      1002             1|12         low Small-Large isolated
## 280           3  12      1002             1|12         low Small-Large isolated
## 281           3  12      1002             1|12         low Small-Large isolated
## 282           3  12      1002             1|12         low Small-Large isolated
## 283           3  12      1002             1|12         low Small-Large isolated
## 284           3  12      1002             1|12         low Small-Large isolated
## 285           3  12      1002             1|12         low Small-Large isolated
## 286           3  12      1002             1|12         low Small-Large isolated
## 287           3  12      1002             1|12         low Small-Large isolated
## 288           3  12      1002             1|12         low Small-Large isolated
## 289           4  16      1002             1|12         low Small-Large isolated
## 290           4  16      1002             1|12         low Small-Large isolated
## 291           4  16      1002             1|12         low Small-Large isolated
## 292           4  16      1002             1|12         low Small-Large isolated
## 293           4  16      1002             1|12         low Small-Large isolated
## 294           4  16      1002             1|12         low Small-Large isolated
## 295           4  16      1002             1|12         low Small-Large isolated
## 296           4  16      1002             1|12         low Small-Large isolated
## 297           4  16      1002             1|12         low Small-Large isolated
## 298           4  16      1002             1|12         low Small-Large isolated
## 299           4  16      1002             1|12         low Small-Large isolated
## 300           4  16      1002             1|12         low Small-Large isolated
## 301           4  16      1002             1|12         low Small-Large isolated
## 302           4  16      1002             1|12         low Small-Large isolated
## 303           4  16      1002             1|12         low Small-Large isolated
## 304           4  16      1002             1|12         low Small-Large isolated
## 305           4  16      1002             1|12         low Small-Large isolated
## 306           4  16      1002             1|12         low Small-Large isolated
## 307           4  16      1002             1|12         low Small-Large isolated
## 308           4  16      1002             1|12         low Small-Large isolated
## 309           4  16      1002             1|12         low Small-Large isolated
## 310           4  16      1002             1|12         low Small-Large isolated
## 311           4  16      1002             1|12         low Small-Large isolated
## 312           4  16      1002             1|12         low Small-Large isolated
## 313           5  20      1002             1|12         low Small-Large isolated
## 314           5  20      1002             1|12         low Small-Large isolated
## 315           5  20      1002             1|12         low Small-Large isolated
## 316           5  20      1002             1|12         low Small-Large isolated
## 317           5  20      1002             1|12         low Small-Large isolated
## 318           5  20      1002             1|12         low Small-Large isolated
## 319           5  20      1002             1|12         low Small-Large isolated
## 320           5  20      1002             1|12         low Small-Large isolated
## 321           5  20      1002             1|12         low Small-Large isolated
## 322           5  20      1002             1|12         low Small-Large isolated
## 323           5  20      1002             1|12         low Small-Large isolated
## 324           5  20      1002             1|12         low Small-Large isolated
## 325           5  20      1002             1|12         low Small-Large isolated
## 326           5  20      1002             1|12         low Small-Large isolated
## 327           5  20      1002             1|12         low Small-Large isolated
## 328           5  20      1002             1|12         low Small-Large isolated
## 329           5  20      1002             1|12         low Small-Large isolated
## 330           5  20      1002             1|12         low Small-Large isolated
## 331           5  20      1002             1|12         low Small-Large isolated
## 332           5  20      1002             1|12         low Small-Large isolated
## 333           5  20      1002             1|12         low Small-Large isolated
## 334           5  20      1002             1|12         low Small-Large isolated
## 335           5  20      1002             1|12         low Small-Large isolated
## 336           5  20      1002             1|12         low Small-Large isolated
## 337           6  24      1002             1|12         low Small-Large isolated
## 338           6  24      1002             1|12         low Small-Large isolated
## 339           6  24      1002             1|12         low Small-Large isolated
## 340           6  24      1002             1|12         low Small-Large isolated
## 341           6  24      1002             1|12         low Small-Large isolated
## 342           6  24      1002             1|12         low Small-Large isolated
## 343           6  24      1002             1|12         low Small-Large isolated
## 344           6  24      1002             1|12         low Small-Large isolated
## 345           6  24      1002             1|12         low Small-Large isolated
## 346           6  24      1002             1|12         low Small-Large isolated
## 347           6  24      1002             1|12         low Small-Large isolated
## 348           6  24      1002             1|12         low Small-Large isolated
## 349           6  24      1002             1|12         low Small-Large isolated
## 350           6  24      1002             1|12         low Small-Large isolated
## 351           6  24      1002             1|12         low Small-Large isolated
## 352           6  24      1002             1|12         low Small-Large isolated
## 353           6  24      1002             1|12         low Small-Large isolated
## 354           6  24      1002             1|12         low Small-Large isolated
## 355           6  24      1002             1|12         low Small-Large isolated
## 356           6  24      1002             1|12         low Small-Large isolated
## 357           6  24      1002             1|12         low Small-Large isolated
## 358           6  24      1002             1|12         low Small-Large isolated
## 359           6  24      1002             1|12         low Small-Large isolated
## 360           6  24      1002             1|12         low Small-Large isolated
## 361           7  28      1002             1|12         low Small-Large isolated
## 362           7  28      1002             1|12         low Small-Large isolated
## 363           7  28      1002             1|12         low Small-Large isolated
## 364           7  28      1002             1|12         low Small-Large isolated
## 365           7  28      1002             1|12         low Small-Large isolated
## 366           7  28      1002             1|12         low Small-Large isolated
## 367           7  28      1002             1|12         low Small-Large isolated
## 368           7  28      1002             1|12         low Small-Large isolated
## 369           7  28      1002             1|12         low Small-Large isolated
## 370           7  28      1002             1|12         low Small-Large isolated
## 371           7  28      1002             1|12         low Small-Large isolated
## 372           7  28      1002             1|12         low Small-Large isolated
## 373           7  28      1002             1|12         low Small-Large isolated
## 374           7  28      1002             1|12         low Small-Large isolated
## 375           7  28      1002             1|12         low Small-Large isolated
## 376           7  28      1002             1|12         low Small-Large isolated
## 377           7  28      1002             1|12         low Small-Large isolated
## 378           7  28      1002             1|12         low Small-Large isolated
## 379           7  28      1002             1|12         low Small-Large isolated
## 380           7  28      1002             1|12         low Small-Large isolated
## 381           7  28      1002             1|12         low Small-Large isolated
## 382           7  28      1002             1|12         low Small-Large isolated
## 383           7  28      1002             1|12         low Small-Large isolated
## 384           7  28      1002             1|12         low Small-Large isolated
## 385           0   0      1003             1|13         low Small-Large isolated
## 386           0   0      1003             1|13         low Small-Large isolated
## 387           0   0      1003             1|13         low Small-Large isolated
## 388           0   0      1003             1|13         low Small-Large isolated
## 389           0   0      1003             1|13         low Small-Large isolated
## 390           0   0      1003             1|13         low Small-Large isolated
## 391           0   0      1003             1|13         low Small-Large isolated
## 392           0   0      1003             1|13         low Small-Large isolated
## 393           0   0      1003             1|13         low Small-Large isolated
## 394           0   0      1003             1|13         low Small-Large isolated
## 395           0   0      1003             1|13         low Small-Large isolated
## 396           0   0      1003             1|13         low Small-Large isolated
## 397           0   0      1003             1|13         low Small-Large isolated
## 398           0   0      1003             1|13         low Small-Large isolated
## 399           0   0      1003             1|13         low Small-Large isolated
## 400           0   0      1003             1|13         low Small-Large isolated
## 401           0   0      1003             1|13         low Small-Large isolated
## 402           0   0      1003             1|13         low Small-Large isolated
## 403           0   0      1003             1|13         low Small-Large isolated
## 404           0   0      1003             1|13         low Small-Large isolated
## 405           0   0      1003             1|13         low Small-Large isolated
## 406           0   0      1003             1|13         low Small-Large isolated
## 407           0   0      1003             1|13         low Small-Large isolated
## 408           0   0      1003             1|13         low Small-Large isolated
## 409           1   4      1003             1|13         low Small-Large isolated
## 410           1   4      1003             1|13         low Small-Large isolated
## 411           1   4      1003             1|13         low Small-Large isolated
## 412           1   4      1003             1|13         low Small-Large isolated
## 413           1   4      1003             1|13         low Small-Large isolated
## 414           1   4      1003             1|13         low Small-Large isolated
## 415           1   4      1003             1|13         low Small-Large isolated
## 416           1   4      1003             1|13         low Small-Large isolated
## 417           1   4      1003             1|13         low Small-Large isolated
## 418           1   4      1003             1|13         low Small-Large isolated
## 419           1   4      1003             1|13         low Small-Large isolated
## 420           1   4      1003             1|13         low Small-Large isolated
## 421           1   4      1003             1|13         low Small-Large isolated
## 422           1   4      1003             1|13         low Small-Large isolated
## 423           1   4      1003             1|13         low Small-Large isolated
## 424           1   4      1003             1|13         low Small-Large isolated
## 425           1   4      1003             1|13         low Small-Large isolated
## 426           1   4      1003             1|13         low Small-Large isolated
## 427           1   4      1003             1|13         low Small-Large isolated
## 428           1   4      1003             1|13         low Small-Large isolated
## 429           1   4      1003             1|13         low Small-Large isolated
## 430           1   4      1003             1|13         low Small-Large isolated
## 431           1   4      1003             1|13         low Small-Large isolated
## 432           1   4      1003             1|13         low Small-Large isolated
## 433           2   8      1003             1|13         low Small-Large isolated
## 434           2   8      1003             1|13         low Small-Large isolated
## 435           2   8      1003             1|13         low Small-Large isolated
## 436           2   8      1003             1|13         low Small-Large isolated
## 437           2   8      1003             1|13         low Small-Large isolated
## 438           2   8      1003             1|13         low Small-Large isolated
## 439           2   8      1003             1|13         low Small-Large isolated
## 440           2   8      1003             1|13         low Small-Large isolated
## 441           2   8      1003             1|13         low Small-Large isolated
## 442           2   8      1003             1|13         low Small-Large isolated
## 443           2   8      1003             1|13         low Small-Large isolated
## 444           2   8      1003             1|13         low Small-Large isolated
## 445           2   8      1003             1|13         low Small-Large isolated
## 446           2   8      1003             1|13         low Small-Large isolated
## 447           2   8      1003             1|13         low Small-Large isolated
## 448           2   8      1003             1|13         low Small-Large isolated
## 449           2   8      1003             1|13         low Small-Large isolated
## 450           2   8      1003             1|13         low Small-Large isolated
## 451           2   8      1003             1|13         low Small-Large isolated
## 452           2   8      1003             1|13         low Small-Large isolated
## 453           2   8      1003             1|13         low Small-Large isolated
## 454           2   8      1003             1|13         low Small-Large isolated
## 455           2   8      1003             1|13         low Small-Large isolated
## 456           2   8      1003             1|13         low Small-Large isolated
## 457           3  12      1003             1|13         low Small-Large isolated
## 458           3  12      1003             1|13         low Small-Large isolated
## 459           3  12      1003             1|13         low Small-Large isolated
## 460           3  12      1003             1|13         low Small-Large isolated
## 461           3  12      1003             1|13         low Small-Large isolated
## 462           3  12      1003             1|13         low Small-Large isolated
## 463           3  12      1003             1|13         low Small-Large isolated
## 464           3  12      1003             1|13         low Small-Large isolated
## 465           3  12      1003             1|13         low Small-Large isolated
## 466           3  12      1003             1|13         low Small-Large isolated
## 467           3  12      1003             1|13         low Small-Large isolated
## 468           3  12      1003             1|13         low Small-Large isolated
## 469           3  12      1003             1|13         low Small-Large isolated
## 470           3  12      1003             1|13         low Small-Large isolated
## 471           3  12      1003             1|13         low Small-Large isolated
## 472           3  12      1003             1|13         low Small-Large isolated
## 473           3  12      1003             1|13         low Small-Large isolated
## 474           3  12      1003             1|13         low Small-Large isolated
## 475           3  12      1003             1|13         low Small-Large isolated
## 476           3  12      1003             1|13         low Small-Large isolated
## 477           3  12      1003             1|13         low Small-Large isolated
## 478           3  12      1003             1|13         low Small-Large isolated
## 479           3  12      1003             1|13         low Small-Large isolated
## 480           3  12      1003             1|13         low Small-Large isolated
## 481           4  16      1003             1|13         low Small-Large isolated
## 482           4  16      1003             1|13         low Small-Large isolated
## 483           4  16      1003             1|13         low Small-Large isolated
## 484           4  16      1003             1|13         low Small-Large isolated
## 485           4  16      1003             1|13         low Small-Large isolated
## 486           4  16      1003             1|13         low Small-Large isolated
## 487           4  16      1003             1|13         low Small-Large isolated
## 488           4  16      1003             1|13         low Small-Large isolated
## 489           4  16      1003             1|13         low Small-Large isolated
## 490           4  16      1003             1|13         low Small-Large isolated
## 491           4  16      1003             1|13         low Small-Large isolated
## 492           4  16      1003             1|13         low Small-Large isolated
## 493           4  16      1003             1|13         low Small-Large isolated
## 494           4  16      1003             1|13         low Small-Large isolated
## 495           4  16      1003             1|13         low Small-Large isolated
## 496           4  16      1003             1|13         low Small-Large isolated
## 497           4  16      1003             1|13         low Small-Large isolated
## 498           4  16      1003             1|13         low Small-Large isolated
## 499           4  16      1003             1|13         low Small-Large isolated
## 500           4  16      1003             1|13         low Small-Large isolated
## 501           4  16      1003             1|13         low Small-Large isolated
## 502           4  16      1003             1|13         low Small-Large isolated
## 503           4  16      1003             1|13         low Small-Large isolated
## 504           4  16      1003             1|13         low Small-Large isolated
## 505           5  20      1003             1|13         low Small-Large isolated
## 506           5  20      1003             1|13         low Small-Large isolated
## 507           5  20      1003             1|13         low Small-Large isolated
## 508           5  20      1003             1|13         low Small-Large isolated
## 509           5  20      1003             1|13         low Small-Large isolated
## 510           5  20      1003             1|13         low Small-Large isolated
## 511           5  20      1003             1|13         low Small-Large isolated
## 512           5  20      1003             1|13         low Small-Large isolated
## 513           5  20      1003             1|13         low Small-Large isolated
## 514           5  20      1003             1|13         low Small-Large isolated
## 515           5  20      1003             1|13         low Small-Large isolated
## 516           5  20      1003             1|13         low Small-Large isolated
## 517           5  20      1003             1|13         low Small-Large isolated
## 518           5  20      1003             1|13         low Small-Large isolated
## 519           5  20      1003             1|13         low Small-Large isolated
## 520           5  20      1003             1|13         low Small-Large isolated
## 521           5  20      1003             1|13         low Small-Large isolated
## 522           5  20      1003             1|13         low Small-Large isolated
## 523           5  20      1003             1|13         low Small-Large isolated
## 524           5  20      1003             1|13         low Small-Large isolated
## 525           5  20      1003             1|13         low Small-Large isolated
## 526           5  20      1003             1|13         low Small-Large isolated
## 527           5  20      1003             1|13         low Small-Large isolated
## 528           5  20      1003             1|13         low Small-Large isolated
## 529           6  24      1003             1|13         low Small-Large isolated
## 530           6  24      1003             1|13         low Small-Large isolated
## 531           6  24      1003             1|13         low Small-Large isolated
## 532           6  24      1003             1|13         low Small-Large isolated
## 533           6  24      1003             1|13         low Small-Large isolated
## 534           6  24      1003             1|13         low Small-Large isolated
## 535           6  24      1003             1|13         low Small-Large isolated
## 536           6  24      1003             1|13         low Small-Large isolated
## 537           6  24      1003             1|13         low Small-Large isolated
## 538           6  24      1003             1|13         low Small-Large isolated
## 539           6  24      1003             1|13         low Small-Large isolated
## 540           6  24      1003             1|13         low Small-Large isolated
## 541           6  24      1003             1|13         low Small-Large isolated
## 542           6  24      1003             1|13         low Small-Large isolated
## 543           6  24      1003             1|13         low Small-Large isolated
## 544           6  24      1003             1|13         low Small-Large isolated
## 545           6  24      1003             1|13         low Small-Large isolated
## 546           6  24      1003             1|13         low Small-Large isolated
## 547           6  24      1003             1|13         low Small-Large isolated
## 548           6  24      1003             1|13         low Small-Large isolated
## 549           6  24      1003             1|13         low Small-Large isolated
## 550           6  24      1003             1|13         low Small-Large isolated
## 551           6  24      1003             1|13         low Small-Large isolated
## 552           6  24      1003             1|13         low Small-Large isolated
## 553           7  28      1003             1|13         low Small-Large isolated
## 554           7  28      1003             1|13         low Small-Large isolated
## 555           7  28      1003             1|13         low Small-Large isolated
## 556           7  28      1003             1|13         low Small-Large isolated
## 557           7  28      1003             1|13         low Small-Large isolated
## 558           7  28      1003             1|13         low Small-Large isolated
## 559           7  28      1003             1|13         low Small-Large isolated
## 560           7  28      1003             1|13         low Small-Large isolated
## 561           7  28      1003             1|13         low Small-Large isolated
## 562           7  28      1003             1|13         low Small-Large isolated
## 563           7  28      1003             1|13         low Small-Large isolated
## 564           7  28      1003             1|13         low Small-Large isolated
## 565           7  28      1003             1|13         low Small-Large isolated
## 566           7  28      1003             1|13         low Small-Large isolated
## 567           7  28      1003             1|13         low Small-Large isolated
## 568           7  28      1003             1|13         low Small-Large isolated
## 569           7  28      1003             1|13         low Small-Large isolated
## 570           7  28      1003             1|13         low Small-Large isolated
## 571           7  28      1003             1|13         low Small-Large isolated
## 572           7  28      1003             1|13         low Small-Large isolated
## 573           7  28      1003             1|13         low Small-Large isolated
## 574           7  28      1003             1|13         low Small-Large isolated
## 575           7  28      1003             1|13         low Small-Large isolated
## 576           7  28      1003             1|13         low Small-Large isolated
## 577           0   0      1004             1|14         low Small-Large isolated
## 578           0   0      1004             1|14         low Small-Large isolated
## 579           0   0      1004             1|14         low Small-Large isolated
## 580           0   0      1004             1|14         low Small-Large isolated
## 581           0   0      1004             1|14         low Small-Large isolated
## 582           0   0      1004             1|14         low Small-Large isolated
## 583           0   0      1004             1|14         low Small-Large isolated
## 584           0   0      1004             1|14         low Small-Large isolated
## 585           0   0      1004             1|14         low Small-Large isolated
## 586           0   0      1004             1|14         low Small-Large isolated
## 587           0   0      1004             1|14         low Small-Large isolated
## 588           0   0      1004             1|14         low Small-Large isolated
## 589           0   0      1004             1|14         low Small-Large isolated
## 590           0   0      1004             1|14         low Small-Large isolated
## 591           0   0      1004             1|14         low Small-Large isolated
## 592           0   0      1004             1|14         low Small-Large isolated
## 593           0   0      1004             1|14         low Small-Large isolated
## 594           0   0      1004             1|14         low Small-Large isolated
## 595           0   0      1004             1|14         low Small-Large isolated
## 596           0   0      1004             1|14         low Small-Large isolated
## 597           0   0      1004             1|14         low Small-Large isolated
## 598           0   0      1004             1|14         low Small-Large isolated
## 599           0   0      1004             1|14         low Small-Large isolated
## 600           0   0      1004             1|14         low Small-Large isolated
## 601           1   4      1004             1|14         low Small-Large isolated
## 602           1   4      1004             1|14         low Small-Large isolated
## 603           1   4      1004             1|14         low Small-Large isolated
## 604           1   4      1004             1|14         low Small-Large isolated
## 605           1   4      1004             1|14         low Small-Large isolated
## 606           1   4      1004             1|14         low Small-Large isolated
## 607           1   4      1004             1|14         low Small-Large isolated
## 608           1   4      1004             1|14         low Small-Large isolated
## 609           1   4      1004             1|14         low Small-Large isolated
## 610           1   4      1004             1|14         low Small-Large isolated
## 611           1   4      1004             1|14         low Small-Large isolated
## 612           1   4      1004             1|14         low Small-Large isolated
## 613           1   4      1004             1|14         low Small-Large isolated
## 614           1   4      1004             1|14         low Small-Large isolated
## 615           1   4      1004             1|14         low Small-Large isolated
## 616           1   4      1004             1|14         low Small-Large isolated
## 617           1   4      1004             1|14         low Small-Large isolated
## 618           1   4      1004             1|14         low Small-Large isolated
## 619           1   4      1004             1|14         low Small-Large isolated
## 620           1   4      1004             1|14         low Small-Large isolated
## 621           1   4      1004             1|14         low Small-Large isolated
## 622           1   4      1004             1|14         low Small-Large isolated
## 623           1   4      1004             1|14         low Small-Large isolated
## 624           1   4      1004             1|14         low Small-Large isolated
## 625           2   8      1004             1|14         low Small-Large isolated
## 626           2   8      1004             1|14         low Small-Large isolated
## 627           2   8      1004             1|14         low Small-Large isolated
## 628           2   8      1004             1|14         low Small-Large isolated
## 629           2   8      1004             1|14         low Small-Large isolated
## 630           2   8      1004             1|14         low Small-Large isolated
## 631           2   8      1004             1|14         low Small-Large isolated
## 632           2   8      1004             1|14         low Small-Large isolated
## 633           2   8      1004             1|14         low Small-Large isolated
## 634           2   8      1004             1|14         low Small-Large isolated
## 635           2   8      1004             1|14         low Small-Large isolated
## 636           2   8      1004             1|14         low Small-Large isolated
## 637           2   8      1004             1|14         low Small-Large isolated
## 638           2   8      1004             1|14         low Small-Large isolated
## 639           2   8      1004             1|14         low Small-Large isolated
## 640           2   8      1004             1|14         low Small-Large isolated
## 641           2   8      1004             1|14         low Small-Large isolated
## 642           2   8      1004             1|14         low Small-Large isolated
## 643           2   8      1004             1|14         low Small-Large isolated
## 644           2   8      1004             1|14         low Small-Large isolated
## 645           2   8      1004             1|14         low Small-Large isolated
## 646           2   8      1004             1|14         low Small-Large isolated
## 647           2   8      1004             1|14         low Small-Large isolated
## 648           2   8      1004             1|14         low Small-Large isolated
## 649           3  12      1004             1|14         low Small-Large isolated
## 650           3  12      1004             1|14         low Small-Large isolated
## 651           3  12      1004             1|14         low Small-Large isolated
## 652           3  12      1004             1|14         low Small-Large isolated
## 653           3  12      1004             1|14         low Small-Large isolated
## 654           3  12      1004             1|14         low Small-Large isolated
## 655           3  12      1004             1|14         low Small-Large isolated
## 656           3  12      1004             1|14         low Small-Large isolated
## 657           3  12      1004             1|14         low Small-Large isolated
## 658           3  12      1004             1|14         low Small-Large isolated
## 659           3  12      1004             1|14         low Small-Large isolated
## 660           3  12      1004             1|14         low Small-Large isolated
## 661           3  12      1004             1|14         low Small-Large isolated
## 662           3  12      1004             1|14         low Small-Large isolated
## 663           3  12      1004             1|14         low Small-Large isolated
## 664           3  12      1004             1|14         low Small-Large isolated
## 665           3  12      1004             1|14         low Small-Large isolated
## 666           3  12      1004             1|14         low Small-Large isolated
## 667           3  12      1004             1|14         low Small-Large isolated
## 668           3  12      1004             1|14         low Small-Large isolated
## 669           3  12      1004             1|14         low Small-Large isolated
## 670           3  12      1004             1|14         low Small-Large isolated
## 671           3  12      1004             1|14         low Small-Large isolated
## 672           3  12      1004             1|14         low Small-Large isolated
## 673           4  16      1004             1|14         low Small-Large isolated
## 674           4  16      1004             1|14         low Small-Large isolated
## 675           4  16      1004             1|14         low Small-Large isolated
## 676           4  16      1004             1|14         low Small-Large isolated
## 677           4  16      1004             1|14         low Small-Large isolated
## 678           4  16      1004             1|14         low Small-Large isolated
## 679           4  16      1004             1|14         low Small-Large isolated
## 680           4  16      1004             1|14         low Small-Large isolated
## 681           4  16      1004             1|14         low Small-Large isolated
## 682           4  16      1004             1|14         low Small-Large isolated
## 683           4  16      1004             1|14         low Small-Large isolated
## 684           4  16      1004             1|14         low Small-Large isolated
## 685           4  16      1004             1|14         low Small-Large isolated
## 686           4  16      1004             1|14         low Small-Large isolated
## 687           4  16      1004             1|14         low Small-Large isolated
## 688           4  16      1004             1|14         low Small-Large isolated
## 689           4  16      1004             1|14         low Small-Large isolated
## 690           4  16      1004             1|14         low Small-Large isolated
## 691           4  16      1004             1|14         low Small-Large isolated
## 692           4  16      1004             1|14         low Small-Large isolated
## 693           4  16      1004             1|14         low Small-Large isolated
## 694           4  16      1004             1|14         low Small-Large isolated
## 695           4  16      1004             1|14         low Small-Large isolated
## 696           4  16      1004             1|14         low Small-Large isolated
## 697           5  20      1004             1|14         low Small-Large isolated
## 698           5  20      1004             1|14         low Small-Large isolated
## 699           5  20      1004             1|14         low Small-Large isolated
## 700           5  20      1004             1|14         low Small-Large isolated
## 701           5  20      1004             1|14         low Small-Large isolated
## 702           5  20      1004             1|14         low Small-Large isolated
## 703           5  20      1004             1|14         low Small-Large isolated
## 704           5  20      1004             1|14         low Small-Large isolated
## 705           5  20      1004             1|14         low Small-Large isolated
## 706           5  20      1004             1|14         low Small-Large isolated
## 707           5  20      1004             1|14         low Small-Large isolated
## 708           5  20      1004             1|14         low Small-Large isolated
## 709           5  20      1004             1|14         low Small-Large isolated
## 710           5  20      1004             1|14         low Small-Large isolated
## 711           5  20      1004             1|14         low Small-Large isolated
## 712           5  20      1004             1|14         low Small-Large isolated
## 713           5  20      1004             1|14         low Small-Large isolated
## 714           5  20      1004             1|14         low Small-Large isolated
## 715           5  20      1004             1|14         low Small-Large isolated
## 716           5  20      1004             1|14         low Small-Large isolated
## 717           5  20      1004             1|14         low Small-Large isolated
## 718           5  20      1004             1|14         low Small-Large isolated
## 719           5  20      1004             1|14         low Small-Large isolated
## 720           5  20      1004             1|14         low Small-Large isolated
## 721           6  24      1004             1|14         low Small-Large isolated
## 722           6  24      1004             1|14         low Small-Large isolated
## 723           6  24      1004             1|14         low Small-Large isolated
## 724           6  24      1004             1|14         low Small-Large isolated
## 725           6  24      1004             1|14         low Small-Large isolated
## 726           6  24      1004             1|14         low Small-Large isolated
## 727           6  24      1004             1|14         low Small-Large isolated
## 728           6  24      1004             1|14         low Small-Large isolated
## 729           6  24      1004             1|14         low Small-Large isolated
## 730           6  24      1004             1|14         low Small-Large isolated
## 731           6  24      1004             1|14         low Small-Large isolated
## 732           6  24      1004             1|14         low Small-Large isolated
## 733           6  24      1004             1|14         low Small-Large isolated
## 734           6  24      1004             1|14         low Small-Large isolated
## 735           6  24      1004             1|14         low Small-Large isolated
## 736           6  24      1004             1|14         low Small-Large isolated
## 737           6  24      1004             1|14         low Small-Large isolated
## 738           6  24      1004             1|14         low Small-Large isolated
## 739           6  24      1004             1|14         low Small-Large isolated
## 740           6  24      1004             1|14         low Small-Large isolated
## 741           6  24      1004             1|14         low Small-Large isolated
## 742           6  24      1004             1|14         low Small-Large isolated
## 743           6  24      1004             1|14         low Small-Large isolated
## 744           6  24      1004             1|14         low Small-Large isolated
## 745           7  28      1004             1|14         low Small-Large isolated
## 746           7  28      1004             1|14         low Small-Large isolated
## 747           7  28      1004             1|14         low Small-Large isolated
## 748           7  28      1004             1|14         low Small-Large isolated
## 749           7  28      1004             1|14         low Small-Large isolated
## 750           7  28      1004             1|14         low Small-Large isolated
## 751           7  28      1004             1|14         low Small-Large isolated
## 752           7  28      1004             1|14         low Small-Large isolated
## 753           7  28      1004             1|14         low Small-Large isolated
## 754           7  28      1004             1|14         low Small-Large isolated
## 755           7  28      1004             1|14         low Small-Large isolated
## 756           7  28      1004             1|14         low Small-Large isolated
## 757           7  28      1004             1|14         low Small-Large isolated
## 758           7  28      1004             1|14         low Small-Large isolated
## 759           7  28      1004             1|14         low Small-Large isolated
## 760           7  28      1004             1|14         low Small-Large isolated
## 761           7  28      1004             1|14         low Small-Large isolated
## 762           7  28      1004             1|14         low Small-Large isolated
## 763           7  28      1004             1|14         low Small-Large isolated
## 764           7  28      1004             1|14         low Small-Large isolated
## 765           7  28      1004             1|14         low Small-Large isolated
## 766           7  28      1004             1|14         low Small-Large isolated
## 767           7  28      1004             1|14         low Small-Large isolated
## 768           7  28      1004             1|14         low Small-Large isolated
## 769           0   0      1005             1|15         low Small-Large isolated
## 770           0   0      1005             1|15         low Small-Large isolated
## 771           0   0      1005             1|15         low Small-Large isolated
## 772           0   0      1005             1|15         low Small-Large isolated
## 773           0   0      1005             1|15         low Small-Large isolated
## 774           0   0      1005             1|15         low Small-Large isolated
## 775           0   0      1005             1|15         low Small-Large isolated
## 776           0   0      1005             1|15         low Small-Large isolated
## 777           0   0      1005             1|15         low Small-Large isolated
## 778           0   0      1005             1|15         low Small-Large isolated
## 779           0   0      1005             1|15         low Small-Large isolated
## 780           0   0      1005             1|15         low Small-Large isolated
## 781           0   0      1005             1|15         low Small-Large isolated
## 782           0   0      1005             1|15         low Small-Large isolated
## 783           0   0      1005             1|15         low Small-Large isolated
## 784           0   0      1005             1|15         low Small-Large isolated
## 785           0   0      1005             1|15         low Small-Large isolated
## 786           0   0      1005             1|15         low Small-Large isolated
## 787           0   0      1005             1|15         low Small-Large isolated
## 788           0   0      1005             1|15         low Small-Large isolated
## 789           0   0      1005             1|15         low Small-Large isolated
## 790           0   0      1005             1|15         low Small-Large isolated
## 791           0   0      1005             1|15         low Small-Large isolated
## 792           0   0      1005             1|15         low Small-Large isolated
## 793           1   4      1005             1|15         low Small-Large isolated
## 794           1   4      1005             1|15         low Small-Large isolated
## 795           1   4      1005             1|15         low Small-Large isolated
## 796           1   4      1005             1|15         low Small-Large isolated
## 797           1   4      1005             1|15         low Small-Large isolated
## 798           1   4      1005             1|15         low Small-Large isolated
## 799           1   4      1005             1|15         low Small-Large isolated
## 800           1   4      1005             1|15         low Small-Large isolated
## 801           1   4      1005             1|15         low Small-Large isolated
## 802           1   4      1005             1|15         low Small-Large isolated
## 803           1   4      1005             1|15         low Small-Large isolated
## 804           1   4      1005             1|15         low Small-Large isolated
## 805           1   4      1005             1|15         low Small-Large isolated
## 806           1   4      1005             1|15         low Small-Large isolated
## 807           1   4      1005             1|15         low Small-Large isolated
## 808           1   4      1005             1|15         low Small-Large isolated
## 809           1   4      1005             1|15         low Small-Large isolated
## 810           1   4      1005             1|15         low Small-Large isolated
## 811           1   4      1005             1|15         low Small-Large isolated
## 812           1   4      1005             1|15         low Small-Large isolated
## 813           1   4      1005             1|15         low Small-Large isolated
## 814           1   4      1005             1|15         low Small-Large isolated
## 815           1   4      1005             1|15         low Small-Large isolated
## 816           1   4      1005             1|15         low Small-Large isolated
## 817           2   8      1005             1|15         low Small-Large isolated
## 818           2   8      1005             1|15         low Small-Large isolated
## 819           2   8      1005             1|15         low Small-Large isolated
## 820           2   8      1005             1|15         low Small-Large isolated
## 821           2   8      1005             1|15         low Small-Large isolated
## 822           2   8      1005             1|15         low Small-Large isolated
## 823           2   8      1005             1|15         low Small-Large isolated
## 824           2   8      1005             1|15         low Small-Large isolated
## 825           2   8      1005             1|15         low Small-Large isolated
## 826           2   8      1005             1|15         low Small-Large isolated
## 827           2   8      1005             1|15         low Small-Large isolated
## 828           2   8      1005             1|15         low Small-Large isolated
## 829           2   8      1005             1|15         low Small-Large isolated
## 830           2   8      1005             1|15         low Small-Large isolated
## 831           2   8      1005             1|15         low Small-Large isolated
## 832           2   8      1005             1|15         low Small-Large isolated
## 833           2   8      1005             1|15         low Small-Large isolated
## 834           2   8      1005             1|15         low Small-Large isolated
## 835           2   8      1005             1|15         low Small-Large isolated
## 836           2   8      1005             1|15         low Small-Large isolated
## 837           2   8      1005             1|15         low Small-Large isolated
## 838           2   8      1005             1|15         low Small-Large isolated
## 839           2   8      1005             1|15         low Small-Large isolated
## 840           2   8      1005             1|15         low Small-Large isolated
## 841           3  12      1005             1|15         low Small-Large isolated
## 842           3  12      1005             1|15         low Small-Large isolated
## 843           3  12      1005             1|15         low Small-Large isolated
## 844           3  12      1005             1|15         low Small-Large isolated
## 845           3  12      1005             1|15         low Small-Large isolated
## 846           3  12      1005             1|15         low Small-Large isolated
## 847           3  12      1005             1|15         low Small-Large isolated
## 848           3  12      1005             1|15         low Small-Large isolated
## 849           3  12      1005             1|15         low Small-Large isolated
## 850           3  12      1005             1|15         low Small-Large isolated
## 851           3  12      1005             1|15         low Small-Large isolated
## 852           3  12      1005             1|15         low Small-Large isolated
## 853           3  12      1005             1|15         low Small-Large isolated
## 854           3  12      1005             1|15         low Small-Large isolated
## 855           3  12      1005             1|15         low Small-Large isolated
## 856           3  12      1005             1|15         low Small-Large isolated
## 857           3  12      1005             1|15         low Small-Large isolated
## 858           3  12      1005             1|15         low Small-Large isolated
## 859           3  12      1005             1|15         low Small-Large isolated
## 860           3  12      1005             1|15         low Small-Large isolated
## 861           3  12      1005             1|15         low Small-Large isolated
## 862           3  12      1005             1|15         low Small-Large isolated
## 863           3  12      1005             1|15         low Small-Large isolated
## 864           3  12      1005             1|15         low Small-Large isolated
## 865           4  16      1005             1|15         low Small-Large isolated
## 866           4  16      1005             1|15         low Small-Large isolated
## 867           4  16      1005             1|15         low Small-Large isolated
## 868           4  16      1005             1|15         low Small-Large isolated
## 869           4  16      1005             1|15         low Small-Large isolated
## 870           4  16      1005             1|15         low Small-Large isolated
## 871           4  16      1005             1|15         low Small-Large isolated
## 872           4  16      1005             1|15         low Small-Large isolated
## 873           4  16      1005             1|15         low Small-Large isolated
## 874           4  16      1005             1|15         low Small-Large isolated
## 875           4  16      1005             1|15         low Small-Large isolated
## 876           4  16      1005             1|15         low Small-Large isolated
## 877           4  16      1005             1|15         low Small-Large isolated
## 878           4  16      1005             1|15         low Small-Large isolated
## 879           4  16      1005             1|15         low Small-Large isolated
## 880           4  16      1005             1|15         low Small-Large isolated
## 881           4  16      1005             1|15         low Small-Large isolated
## 882           4  16      1005             1|15         low Small-Large isolated
## 883           4  16      1005             1|15         low Small-Large isolated
## 884           4  16      1005             1|15         low Small-Large isolated
## 885           4  16      1005             1|15         low Small-Large isolated
## 886           4  16      1005             1|15         low Small-Large isolated
## 887           4  16      1005             1|15         low Small-Large isolated
## 888           4  16      1005             1|15         low Small-Large isolated
## 889           5  20      1005             1|15         low Small-Large isolated
## 890           5  20      1005             1|15         low Small-Large isolated
## 891           5  20      1005             1|15         low Small-Large isolated
## 892           5  20      1005             1|15         low Small-Large isolated
## 893           5  20      1005             1|15         low Small-Large isolated
## 894           5  20      1005             1|15         low Small-Large isolated
## 895           5  20      1005             1|15         low Small-Large isolated
## 896           5  20      1005             1|15         low Small-Large isolated
## 897           5  20      1005             1|15         low Small-Large isolated
## 898           5  20      1005             1|15         low Small-Large isolated
## 899           5  20      1005             1|15         low Small-Large isolated
## 900           5  20      1005             1|15         low Small-Large isolated
## 901           5  20      1005             1|15         low Small-Large isolated
## 902           5  20      1005             1|15         low Small-Large isolated
## 903           5  20      1005             1|15         low Small-Large isolated
## 904           5  20      1005             1|15         low Small-Large isolated
## 905           5  20      1005             1|15         low Small-Large isolated
## 906           5  20      1005             1|15         low Small-Large isolated
## 907           5  20      1005             1|15         low Small-Large isolated
## 908           5  20      1005             1|15         low Small-Large isolated
## 909           5  20      1005             1|15         low Small-Large isolated
## 910           5  20      1005             1|15         low Small-Large isolated
## 911           5  20      1005             1|15         low Small-Large isolated
## 912           5  20      1005             1|15         low Small-Large isolated
## 913           6  24      1005             1|15         low Small-Large isolated
## 914           6  24      1005             1|15         low Small-Large isolated
## 915           6  24      1005             1|15         low Small-Large isolated
## 916           6  24      1005             1|15         low Small-Large isolated
## 917           6  24      1005             1|15         low Small-Large isolated
## 918           6  24      1005             1|15         low Small-Large isolated
## 919           6  24      1005             1|15         low Small-Large isolated
## 920           6  24      1005             1|15         low Small-Large isolated
## 921           6  24      1005             1|15         low Small-Large isolated
## 922           6  24      1005             1|15         low Small-Large isolated
## 923           6  24      1005             1|15         low Small-Large isolated
## 924           6  24      1005             1|15         low Small-Large isolated
## 925           6  24      1005             1|15         low Small-Large isolated
## 926           6  24      1005             1|15         low Small-Large isolated
## 927           6  24      1005             1|15         low Small-Large isolated
## 928           6  24      1005             1|15         low Small-Large isolated
## 929           6  24      1005             1|15         low Small-Large isolated
## 930           6  24      1005             1|15         low Small-Large isolated
## 931           6  24      1005             1|15         low Small-Large isolated
## 932           6  24      1005             1|15         low Small-Large isolated
## 933           6  24      1005             1|15         low Small-Large isolated
## 934           6  24      1005             1|15         low Small-Large isolated
## 935           6  24      1005             1|15         low Small-Large isolated
## 936           6  24      1005             1|15         low Small-Large isolated
## 937           7  28      1005             1|15         low Small-Large isolated
## 938           7  28      1005             1|15         low Small-Large isolated
## 939           7  28      1005             1|15         low Small-Large isolated
## 940           7  28      1005             1|15         low Small-Large isolated
## 941           7  28      1005             1|15         low Small-Large isolated
## 942           7  28      1005             1|15         low Small-Large isolated
## 943           7  28      1005             1|15         low Small-Large isolated
## 944           7  28      1005             1|15         low Small-Large isolated
## 945           7  28      1005             1|15         low Small-Large isolated
## 946           7  28      1005             1|15         low Small-Large isolated
## 947           7  28      1005             1|15         low Small-Large isolated
## 948           7  28      1005             1|15         low Small-Large isolated
## 949           7  28      1005             1|15         low Small-Large isolated
## 950           7  28      1005             1|15         low Small-Large isolated
## 951           7  28      1005             1|15         low Small-Large isolated
## 952           7  28      1005             1|15         low Small-Large isolated
## 953           7  28      1005             1|15         low Small-Large isolated
## 954           7  28      1005             1|15         low Small-Large isolated
## 955           7  28      1005             1|15         low Small-Large isolated
## 956           7  28      1005             1|15         low Small-Large isolated
## 957           7  28      1005             1|15         low Small-Large isolated
## 958           7  28      1005             1|15         low Small-Large isolated
## 959           7  28      1005             1|15         low Small-Large isolated
## 960           7  28      1005             1|15         low Small-Large isolated
## 961           0   0      1006             2|11         low Small-Large isolated
## 962           0   0      1006             2|11         low Small-Large isolated
## 963           0   0      1006             2|11         low Small-Large isolated
## 964           0   0      1006             2|11         low Small-Large isolated
## 965           0   0      1006             2|11         low Small-Large isolated
## 966           0   0      1006             2|11         low Small-Large isolated
## 967           0   0      1006             2|11         low Small-Large isolated
## 968           0   0      1006             2|11         low Small-Large isolated
## 969           0   0      1006             2|11         low Small-Large isolated
## 970           0   0      1006             2|11         low Small-Large isolated
## 971           0   0      1006             2|11         low Small-Large isolated
## 972           0   0      1006             2|11         low Small-Large isolated
## 973           0   0      1006             2|11         low Small-Large isolated
## 974           0   0      1006             2|11         low Small-Large isolated
## 975           0   0      1006             2|11         low Small-Large isolated
## 976           0   0      1006             2|11         low Small-Large isolated
## 977           0   0      1006             2|11         low Small-Large isolated
## 978           0   0      1006             2|11         low Small-Large isolated
## 979           0   0      1006             2|11         low Small-Large isolated
## 980           0   0      1006             2|11         low Small-Large isolated
## 981           0   0      1006             2|11         low Small-Large isolated
## 982           0   0      1006             2|11         low Small-Large isolated
## 983           0   0      1006             2|11         low Small-Large isolated
## 984           0   0      1006             2|11         low Small-Large isolated
## 985           1   4      1006             2|11         low Small-Large isolated
## 986           1   4      1006             2|11         low Small-Large isolated
## 987           1   4      1006             2|11         low Small-Large isolated
## 988           1   4      1006             2|11         low Small-Large isolated
## 989           1   4      1006             2|11         low Small-Large isolated
## 990           1   4      1006             2|11         low Small-Large isolated
## 991           1   4      1006             2|11         low Small-Large isolated
## 992           1   4      1006             2|11         low Small-Large isolated
## 993           1   4      1006             2|11         low Small-Large isolated
## 994           1   4      1006             2|11         low Small-Large isolated
## 995           1   4      1006             2|11         low Small-Large isolated
## 996           1   4      1006             2|11         low Small-Large isolated
## 997           1   4      1006             2|11         low Small-Large isolated
## 998           1   4      1006             2|11         low Small-Large isolated
## 999           1   4      1006             2|11         low Small-Large isolated
## 1000          1   4      1006             2|11         low Small-Large isolated
## 1001          1   4      1006             2|11         low Small-Large isolated
## 1002          1   4      1006             2|11         low Small-Large isolated
## 1003          1   4      1006             2|11         low Small-Large isolated
## 1004          1   4      1006             2|11         low Small-Large isolated
## 1005          1   4      1006             2|11         low Small-Large isolated
## 1006          1   4      1006             2|11         low Small-Large isolated
## 1007          1   4      1006             2|11         low Small-Large isolated
## 1008          1   4      1006             2|11         low Small-Large isolated
## 1009          2   8      1006             2|11         low Small-Large isolated
## 1010          2   8      1006             2|11         low Small-Large isolated
## 1011          2   8      1006             2|11         low Small-Large isolated
## 1012          2   8      1006             2|11         low Small-Large isolated
## 1013          2   8      1006             2|11         low Small-Large isolated
## 1014          2   8      1006             2|11         low Small-Large isolated
## 1015          2   8      1006             2|11         low Small-Large isolated
## 1016          2   8      1006             2|11         low Small-Large isolated
## 1017          2   8      1006             2|11         low Small-Large isolated
## 1018          2   8      1006             2|11         low Small-Large isolated
## 1019          2   8      1006             2|11         low Small-Large isolated
## 1020          2   8      1006             2|11         low Small-Large isolated
## 1021          2   8      1006             2|11         low Small-Large isolated
## 1022          2   8      1006             2|11         low Small-Large isolated
## 1023          2   8      1006             2|11         low Small-Large isolated
## 1024          2   8      1006             2|11         low Small-Large isolated
## 1025          2   8      1006             2|11         low Small-Large isolated
## 1026          2   8      1006             2|11         low Small-Large isolated
## 1027          2   8      1006             2|11         low Small-Large isolated
## 1028          2   8      1006             2|11         low Small-Large isolated
## 1029          2   8      1006             2|11         low Small-Large isolated
## 1030          2   8      1006             2|11         low Small-Large isolated
## 1031          2   8      1006             2|11         low Small-Large isolated
## 1032          2   8      1006             2|11         low Small-Large isolated
## 1033          3  12      1006             2|11         low Small-Large isolated
## 1034          3  12      1006             2|11         low Small-Large isolated
## 1035          3  12      1006             2|11         low Small-Large isolated
## 1036          3  12      1006             2|11         low Small-Large isolated
## 1037          3  12      1006             2|11         low Small-Large isolated
## 1038          3  12      1006             2|11         low Small-Large isolated
## 1039          3  12      1006             2|11         low Small-Large isolated
## 1040          3  12      1006             2|11         low Small-Large isolated
## 1041          3  12      1006             2|11         low Small-Large isolated
## 1042          3  12      1006             2|11         low Small-Large isolated
## 1043          3  12      1006             2|11         low Small-Large isolated
## 1044          3  12      1006             2|11         low Small-Large isolated
## 1045          3  12      1006             2|11         low Small-Large isolated
## 1046          3  12      1006             2|11         low Small-Large isolated
## 1047          3  12      1006             2|11         low Small-Large isolated
## 1048          3  12      1006             2|11         low Small-Large isolated
## 1049          3  12      1006             2|11         low Small-Large isolated
## 1050          3  12      1006             2|11         low Small-Large isolated
## 1051          3  12      1006             2|11         low Small-Large isolated
## 1052          3  12      1006             2|11         low Small-Large isolated
## 1053          3  12      1006             2|11         low Small-Large isolated
## 1054          3  12      1006             2|11         low Small-Large isolated
## 1055          3  12      1006             2|11         low Small-Large isolated
## 1056          3  12      1006             2|11         low Small-Large isolated
## 1057          4  16      1006             2|11         low Small-Large isolated
## 1058          4  16      1006             2|11         low Small-Large isolated
## 1059          4  16      1006             2|11         low Small-Large isolated
## 1060          4  16      1006             2|11         low Small-Large isolated
## 1061          4  16      1006             2|11         low Small-Large isolated
## 1062          4  16      1006             2|11         low Small-Large isolated
## 1063          4  16      1006             2|11         low Small-Large isolated
## 1064          4  16      1006             2|11         low Small-Large isolated
## 1065          4  16      1006             2|11         low Small-Large isolated
## 1066          4  16      1006             2|11         low Small-Large isolated
## 1067          4  16      1006             2|11         low Small-Large isolated
## 1068          4  16      1006             2|11         low Small-Large isolated
## 1069          4  16      1006             2|11         low Small-Large isolated
## 1070          4  16      1006             2|11         low Small-Large isolated
## 1071          4  16      1006             2|11         low Small-Large isolated
## 1072          4  16      1006             2|11         low Small-Large isolated
## 1073          4  16      1006             2|11         low Small-Large isolated
## 1074          4  16      1006             2|11         low Small-Large isolated
## 1075          4  16      1006             2|11         low Small-Large isolated
## 1076          4  16      1006             2|11         low Small-Large isolated
## 1077          4  16      1006             2|11         low Small-Large isolated
## 1078          4  16      1006             2|11         low Small-Large isolated
## 1079          4  16      1006             2|11         low Small-Large isolated
## 1080          4  16      1006             2|11         low Small-Large isolated
## 1081          5  20      1006             2|11         low Small-Large isolated
## 1082          5  20      1006             2|11         low Small-Large isolated
## 1083          5  20      1006             2|11         low Small-Large isolated
## 1084          5  20      1006             2|11         low Small-Large isolated
## 1085          5  20      1006             2|11         low Small-Large isolated
## 1086          5  20      1006             2|11         low Small-Large isolated
## 1087          5  20      1006             2|11         low Small-Large isolated
## 1088          5  20      1006             2|11         low Small-Large isolated
## 1089          5  20      1006             2|11         low Small-Large isolated
## 1090          5  20      1006             2|11         low Small-Large isolated
## 1091          5  20      1006             2|11         low Small-Large isolated
## 1092          5  20      1006             2|11         low Small-Large isolated
## 1093          5  20      1006             2|11         low Small-Large isolated
## 1094          5  20      1006             2|11         low Small-Large isolated
## 1095          5  20      1006             2|11         low Small-Large isolated
## 1096          5  20      1006             2|11         low Small-Large isolated
## 1097          5  20      1006             2|11         low Small-Large isolated
## 1098          5  20      1006             2|11         low Small-Large isolated
## 1099          5  20      1006             2|11         low Small-Large isolated
## 1100          5  20      1006             2|11         low Small-Large isolated
## 1101          5  20      1006             2|11         low Small-Large isolated
## 1102          5  20      1006             2|11         low Small-Large isolated
## 1103          5  20      1006             2|11         low Small-Large isolated
## 1104          5  20      1006             2|11         low Small-Large isolated
## 1105          6  24      1006             2|11         low Small-Large isolated
## 1106          6  24      1006             2|11         low Small-Large isolated
## 1107          6  24      1006             2|11         low Small-Large isolated
## 1108          6  24      1006             2|11         low Small-Large isolated
## 1109          6  24      1006             2|11         low Small-Large isolated
## 1110          6  24      1006             2|11         low Small-Large isolated
## 1111          6  24      1006             2|11         low Small-Large isolated
## 1112          6  24      1006             2|11         low Small-Large isolated
## 1113          6  24      1006             2|11         low Small-Large isolated
## 1114          6  24      1006             2|11         low Small-Large isolated
## 1115          6  24      1006             2|11         low Small-Large isolated
## 1116          6  24      1006             2|11         low Small-Large isolated
## 1117          6  24      1006             2|11         low Small-Large isolated
## 1118          6  24      1006             2|11         low Small-Large isolated
## 1119          6  24      1006             2|11         low Small-Large isolated
## 1120          6  24      1006             2|11         low Small-Large isolated
## 1121          6  24      1006             2|11         low Small-Large isolated
## 1122          6  24      1006             2|11         low Small-Large isolated
## 1123          6  24      1006             2|11         low Small-Large isolated
## 1124          6  24      1006             2|11         low Small-Large isolated
## 1125          6  24      1006             2|11         low Small-Large isolated
## 1126          6  24      1006             2|11         low Small-Large isolated
## 1127          6  24      1006             2|11         low Small-Large isolated
## 1128          6  24      1006             2|11         low Small-Large isolated
## 1129          7  28      1006             2|11         low Small-Large isolated
## 1130          7  28      1006             2|11         low Small-Large isolated
## 1131          7  28      1006             2|11         low Small-Large isolated
## 1132          7  28      1006             2|11         low Small-Large isolated
## 1133          7  28      1006             2|11         low Small-Large isolated
## 1134          7  28      1006             2|11         low Small-Large isolated
## 1135          7  28      1006             2|11         low Small-Large isolated
## 1136          7  28      1006             2|11         low Small-Large isolated
## 1137          7  28      1006             2|11         low Small-Large isolated
## 1138          7  28      1006             2|11         low Small-Large isolated
## 1139          7  28      1006             2|11         low Small-Large isolated
## 1140          7  28      1006             2|11         low Small-Large isolated
## 1141          7  28      1006             2|11         low Small-Large isolated
## 1142          7  28      1006             2|11         low Small-Large isolated
## 1143          7  28      1006             2|11         low Small-Large isolated
## 1144          7  28      1006             2|11         low Small-Large isolated
## 1145          7  28      1006             2|11         low Small-Large isolated
## 1146          7  28      1006             2|11         low Small-Large isolated
## 1147          7  28      1006             2|11         low Small-Large isolated
## 1148          7  28      1006             2|11         low Small-Large isolated
## 1149          7  28      1006             2|11         low Small-Large isolated
## 1150          7  28      1006             2|11         low Small-Large isolated
## 1151          7  28      1006             2|11         low Small-Large isolated
## 1152          7  28      1006             2|11         low Small-Large isolated
## 1153          0   0      1007             2|12         low Small-Large isolated
## 1154          0   0      1007             2|12         low Small-Large isolated
## 1155          0   0      1007             2|12         low Small-Large isolated
## 1156          0   0      1007             2|12         low Small-Large isolated
## 1157          0   0      1007             2|12         low Small-Large isolated
## 1158          0   0      1007             2|12         low Small-Large isolated
## 1159          0   0      1007             2|12         low Small-Large isolated
## 1160          0   0      1007             2|12         low Small-Large isolated
## 1161          0   0      1007             2|12         low Small-Large isolated
## 1162          0   0      1007             2|12         low Small-Large isolated
## 1163          0   0      1007             2|12         low Small-Large isolated
## 1164          0   0      1007             2|12         low Small-Large isolated
## 1165          0   0      1007             2|12         low Small-Large isolated
## 1166          0   0      1007             2|12         low Small-Large isolated
## 1167          0   0      1007             2|12         low Small-Large isolated
## 1168          0   0      1007             2|12         low Small-Large isolated
## 1169          0   0      1007             2|12         low Small-Large isolated
## 1170          0   0      1007             2|12         low Small-Large isolated
## 1171          0   0      1007             2|12         low Small-Large isolated
## 1172          0   0      1007             2|12         low Small-Large isolated
## 1173          0   0      1007             2|12         low Small-Large isolated
## 1174          0   0      1007             2|12         low Small-Large isolated
## 1175          0   0      1007             2|12         low Small-Large isolated
## 1176          0   0      1007             2|12         low Small-Large isolated
## 1177          1   4      1007             2|12         low Small-Large isolated
## 1178          1   4      1007             2|12         low Small-Large isolated
## 1179          1   4      1007             2|12         low Small-Large isolated
## 1180          1   4      1007             2|12         low Small-Large isolated
## 1181          1   4      1007             2|12         low Small-Large isolated
## 1182          1   4      1007             2|12         low Small-Large isolated
## 1183          1   4      1007             2|12         low Small-Large isolated
## 1184          1   4      1007             2|12         low Small-Large isolated
## 1185          1   4      1007             2|12         low Small-Large isolated
## 1186          1   4      1007             2|12         low Small-Large isolated
## 1187          1   4      1007             2|12         low Small-Large isolated
## 1188          1   4      1007             2|12         low Small-Large isolated
## 1189          1   4      1007             2|12         low Small-Large isolated
## 1190          1   4      1007             2|12         low Small-Large isolated
## 1191          1   4      1007             2|12         low Small-Large isolated
## 1192          1   4      1007             2|12         low Small-Large isolated
## 1193          1   4      1007             2|12         low Small-Large isolated
## 1194          1   4      1007             2|12         low Small-Large isolated
## 1195          1   4      1007             2|12         low Small-Large isolated
## 1196          1   4      1007             2|12         low Small-Large isolated
## 1197          1   4      1007             2|12         low Small-Large isolated
## 1198          1   4      1007             2|12         low Small-Large isolated
## 1199          1   4      1007             2|12         low Small-Large isolated
## 1200          1   4      1007             2|12         low Small-Large isolated
## 1201          2   8      1007             2|12         low Small-Large isolated
## 1202          2   8      1007             2|12         low Small-Large isolated
## 1203          2   8      1007             2|12         low Small-Large isolated
## 1204          2   8      1007             2|12         low Small-Large isolated
## 1205          2   8      1007             2|12         low Small-Large isolated
## 1206          2   8      1007             2|12         low Small-Large isolated
## 1207          2   8      1007             2|12         low Small-Large isolated
## 1208          2   8      1007             2|12         low Small-Large isolated
## 1209          2   8      1007             2|12         low Small-Large isolated
## 1210          2   8      1007             2|12         low Small-Large isolated
## 1211          2   8      1007             2|12         low Small-Large isolated
## 1212          2   8      1007             2|12         low Small-Large isolated
## 1213          2   8      1007             2|12         low Small-Large isolated
## 1214          2   8      1007             2|12         low Small-Large isolated
## 1215          2   8      1007             2|12         low Small-Large isolated
## 1216          2   8      1007             2|12         low Small-Large isolated
## 1217          2   8      1007             2|12         low Small-Large isolated
## 1218          2   8      1007             2|12         low Small-Large isolated
## 1219          2   8      1007             2|12         low Small-Large isolated
## 1220          2   8      1007             2|12         low Small-Large isolated
## 1221          2   8      1007             2|12         low Small-Large isolated
## 1222          2   8      1007             2|12         low Small-Large isolated
## 1223          2   8      1007             2|12         low Small-Large isolated
## 1224          2   8      1007             2|12         low Small-Large isolated
## 1225          3  12      1007             2|12         low Small-Large isolated
## 1226          3  12      1007             2|12         low Small-Large isolated
## 1227          3  12      1007             2|12         low Small-Large isolated
## 1228          3  12      1007             2|12         low Small-Large isolated
## 1229          3  12      1007             2|12         low Small-Large isolated
## 1230          3  12      1007             2|12         low Small-Large isolated
## 1231          3  12      1007             2|12         low Small-Large isolated
## 1232          3  12      1007             2|12         low Small-Large isolated
## 1233          3  12      1007             2|12         low Small-Large isolated
## 1234          3  12      1007             2|12         low Small-Large isolated
## 1235          3  12      1007             2|12         low Small-Large isolated
## 1236          3  12      1007             2|12         low Small-Large isolated
## 1237          3  12      1007             2|12         low Small-Large isolated
## 1238          3  12      1007             2|12         low Small-Large isolated
## 1239          3  12      1007             2|12         low Small-Large isolated
## 1240          3  12      1007             2|12         low Small-Large isolated
## 1241          3  12      1007             2|12         low Small-Large isolated
## 1242          3  12      1007             2|12         low Small-Large isolated
## 1243          3  12      1007             2|12         low Small-Large isolated
## 1244          3  12      1007             2|12         low Small-Large isolated
## 1245          3  12      1007             2|12         low Small-Large isolated
## 1246          3  12      1007             2|12         low Small-Large isolated
## 1247          3  12      1007             2|12         low Small-Large isolated
## 1248          3  12      1007             2|12         low Small-Large isolated
## 1249          4  16      1007             2|12         low Small-Large isolated
## 1250          4  16      1007             2|12         low Small-Large isolated
## 1251          4  16      1007             2|12         low Small-Large isolated
## 1252          4  16      1007             2|12         low Small-Large isolated
## 1253          4  16      1007             2|12         low Small-Large isolated
## 1254          4  16      1007             2|12         low Small-Large isolated
## 1255          4  16      1007             2|12         low Small-Large isolated
## 1256          4  16      1007             2|12         low Small-Large isolated
## 1257          4  16      1007             2|12         low Small-Large isolated
## 1258          4  16      1007             2|12         low Small-Large isolated
## 1259          4  16      1007             2|12         low Small-Large isolated
## 1260          4  16      1007             2|12         low Small-Large isolated
## 1261          4  16      1007             2|12         low Small-Large isolated
## 1262          4  16      1007             2|12         low Small-Large isolated
## 1263          4  16      1007             2|12         low Small-Large isolated
## 1264          4  16      1007             2|12         low Small-Large isolated
## 1265          4  16      1007             2|12         low Small-Large isolated
## 1266          4  16      1007             2|12         low Small-Large isolated
## 1267          4  16      1007             2|12         low Small-Large isolated
## 1268          4  16      1007             2|12         low Small-Large isolated
## 1269          4  16      1007             2|12         low Small-Large isolated
## 1270          4  16      1007             2|12         low Small-Large isolated
## 1271          4  16      1007             2|12         low Small-Large isolated
## 1272          4  16      1007             2|12         low Small-Large isolated
## 1273          5  20      1007             2|12         low Small-Large isolated
## 1274          5  20      1007             2|12         low Small-Large isolated
## 1275          5  20      1007             2|12         low Small-Large isolated
## 1276          5  20      1007             2|12         low Small-Large isolated
## 1277          5  20      1007             2|12         low Small-Large isolated
## 1278          5  20      1007             2|12         low Small-Large isolated
## 1279          5  20      1007             2|12         low Small-Large isolated
## 1280          5  20      1007             2|12         low Small-Large isolated
## 1281          5  20      1007             2|12         low Small-Large isolated
## 1282          5  20      1007             2|12         low Small-Large isolated
## 1283          5  20      1007             2|12         low Small-Large isolated
## 1284          5  20      1007             2|12         low Small-Large isolated
## 1285          5  20      1007             2|12         low Small-Large isolated
## 1286          5  20      1007             2|12         low Small-Large isolated
## 1287          5  20      1007             2|12         low Small-Large isolated
## 1288          5  20      1007             2|12         low Small-Large isolated
## 1289          5  20      1007             2|12         low Small-Large isolated
## 1290          5  20      1007             2|12         low Small-Large isolated
## 1291          5  20      1007             2|12         low Small-Large isolated
## 1292          5  20      1007             2|12         low Small-Large isolated
## 1293          5  20      1007             2|12         low Small-Large isolated
## 1294          5  20      1007             2|12         low Small-Large isolated
## 1295          5  20      1007             2|12         low Small-Large isolated
## 1296          5  20      1007             2|12         low Small-Large isolated
## 1297          6  24      1007             2|12         low Small-Large isolated
## 1298          6  24      1007             2|12         low Small-Large isolated
## 1299          6  24      1007             2|12         low Small-Large isolated
## 1300          6  24      1007             2|12         low Small-Large isolated
## 1301          6  24      1007             2|12         low Small-Large isolated
## 1302          6  24      1007             2|12         low Small-Large isolated
## 1303          6  24      1007             2|12         low Small-Large isolated
## 1304          6  24      1007             2|12         low Small-Large isolated
## 1305          6  24      1007             2|12         low Small-Large isolated
## 1306          6  24      1007             2|12         low Small-Large isolated
## 1307          6  24      1007             2|12         low Small-Large isolated
## 1308          6  24      1007             2|12         low Small-Large isolated
## 1309          6  24      1007             2|12         low Small-Large isolated
## 1310          6  24      1007             2|12         low Small-Large isolated
## 1311          6  24      1007             2|12         low Small-Large isolated
## 1312          6  24      1007             2|12         low Small-Large isolated
## 1313          6  24      1007             2|12         low Small-Large isolated
## 1314          6  24      1007             2|12         low Small-Large isolated
## 1315          6  24      1007             2|12         low Small-Large isolated
## 1316          6  24      1007             2|12         low Small-Large isolated
## 1317          6  24      1007             2|12         low Small-Large isolated
## 1318          6  24      1007             2|12         low Small-Large isolated
## 1319          6  24      1007             2|12         low Small-Large isolated
## 1320          6  24      1007             2|12         low Small-Large isolated
## 1321          7  28      1007             2|12         low Small-Large isolated
## 1322          7  28      1007             2|12         low Small-Large isolated
## 1323          7  28      1007             2|12         low Small-Large isolated
## 1324          7  28      1007             2|12         low Small-Large isolated
## 1325          7  28      1007             2|12         low Small-Large isolated
## 1326          7  28      1007             2|12         low Small-Large isolated
## 1327          7  28      1007             2|12         low Small-Large isolated
## 1328          7  28      1007             2|12         low Small-Large isolated
## 1329          7  28      1007             2|12         low Small-Large isolated
## 1330          7  28      1007             2|12         low Small-Large isolated
## 1331          7  28      1007             2|12         low Small-Large isolated
## 1332          7  28      1007             2|12         low Small-Large isolated
## 1333          7  28      1007             2|12         low Small-Large isolated
## 1334          7  28      1007             2|12         low Small-Large isolated
## 1335          7  28      1007             2|12         low Small-Large isolated
## 1336          7  28      1007             2|12         low Small-Large isolated
## 1337          7  28      1007             2|12         low Small-Large isolated
## 1338          7  28      1007             2|12         low Small-Large isolated
## 1339          7  28      1007             2|12         low Small-Large isolated
## 1340          7  28      1007             2|12         low Small-Large isolated
## 1341          7  28      1007             2|12         low Small-Large isolated
## 1342          7  28      1007             2|12         low Small-Large isolated
## 1343          7  28      1007             2|12         low Small-Large isolated
## 1344          7  28      1007             2|12         low Small-Large isolated
## 1345          0   0      1008             2|13         low Small-Large isolated
## 1346          0   0      1008             2|13         low Small-Large isolated
## 1347          0   0      1008             2|13         low Small-Large isolated
## 1348          0   0      1008             2|13         low Small-Large isolated
## 1349          0   0      1008             2|13         low Small-Large isolated
## 1350          0   0      1008             2|13         low Small-Large isolated
## 1351          0   0      1008             2|13         low Small-Large isolated
## 1352          0   0      1008             2|13         low Small-Large isolated
## 1353          0   0      1008             2|13         low Small-Large isolated
## 1354          0   0      1008             2|13         low Small-Large isolated
## 1355          0   0      1008             2|13         low Small-Large isolated
## 1356          0   0      1008             2|13         low Small-Large isolated
## 1357          0   0      1008             2|13         low Small-Large isolated
## 1358          0   0      1008             2|13         low Small-Large isolated
## 1359          0   0      1008             2|13         low Small-Large isolated
## 1360          0   0      1008             2|13         low Small-Large isolated
## 1361          0   0      1008             2|13         low Small-Large isolated
## 1362          0   0      1008             2|13         low Small-Large isolated
## 1363          0   0      1008             2|13         low Small-Large isolated
## 1364          0   0      1008             2|13         low Small-Large isolated
## 1365          0   0      1008             2|13         low Small-Large isolated
## 1366          0   0      1008             2|13         low Small-Large isolated
## 1367          0   0      1008             2|13         low Small-Large isolated
## 1368          0   0      1008             2|13         low Small-Large isolated
## 1369          1   4      1008             2|13         low Small-Large isolated
## 1370          1   4      1008             2|13         low Small-Large isolated
## 1371          1   4      1008             2|13         low Small-Large isolated
## 1372          1   4      1008             2|13         low Small-Large isolated
## 1373          1   4      1008             2|13         low Small-Large isolated
## 1374          1   4      1008             2|13         low Small-Large isolated
## 1375          1   4      1008             2|13         low Small-Large isolated
## 1376          1   4      1008             2|13         low Small-Large isolated
## 1377          1   4      1008             2|13         low Small-Large isolated
## 1378          1   4      1008             2|13         low Small-Large isolated
## 1379          1   4      1008             2|13         low Small-Large isolated
## 1380          1   4      1008             2|13         low Small-Large isolated
## 1381          1   4      1008             2|13         low Small-Large isolated
## 1382          1   4      1008             2|13         low Small-Large isolated
## 1383          1   4      1008             2|13         low Small-Large isolated
## 1384          1   4      1008             2|13         low Small-Large isolated
## 1385          1   4      1008             2|13         low Small-Large isolated
## 1386          1   4      1008             2|13         low Small-Large isolated
## 1387          1   4      1008             2|13         low Small-Large isolated
## 1388          1   4      1008             2|13         low Small-Large isolated
## 1389          1   4      1008             2|13         low Small-Large isolated
## 1390          1   4      1008             2|13         low Small-Large isolated
## 1391          1   4      1008             2|13         low Small-Large isolated
## 1392          1   4      1008             2|13         low Small-Large isolated
## 1393          2   8      1008             2|13         low Small-Large isolated
## 1394          2   8      1008             2|13         low Small-Large isolated
## 1395          2   8      1008             2|13         low Small-Large isolated
## 1396          2   8      1008             2|13         low Small-Large isolated
## 1397          2   8      1008             2|13         low Small-Large isolated
## 1398          2   8      1008             2|13         low Small-Large isolated
## 1399          2   8      1008             2|13         low Small-Large isolated
## 1400          2   8      1008             2|13         low Small-Large isolated
## 1401          2   8      1008             2|13         low Small-Large isolated
## 1402          2   8      1008             2|13         low Small-Large isolated
## 1403          2   8      1008             2|13         low Small-Large isolated
## 1404          2   8      1008             2|13         low Small-Large isolated
## 1405          2   8      1008             2|13         low Small-Large isolated
## 1406          2   8      1008             2|13         low Small-Large isolated
## 1407          2   8      1008             2|13         low Small-Large isolated
## 1408          2   8      1008             2|13         low Small-Large isolated
## 1409          2   8      1008             2|13         low Small-Large isolated
## 1410          2   8      1008             2|13         low Small-Large isolated
## 1411          2   8      1008             2|13         low Small-Large isolated
## 1412          2   8      1008             2|13         low Small-Large isolated
## 1413          2   8      1008             2|13         low Small-Large isolated
## 1414          2   8      1008             2|13         low Small-Large isolated
## 1415          2   8      1008             2|13         low Small-Large isolated
## 1416          2   8      1008             2|13         low Small-Large isolated
## 1417          3  12      1008             2|13         low Small-Large isolated
## 1418          3  12      1008             2|13         low Small-Large isolated
## 1419          3  12      1008             2|13         low Small-Large isolated
## 1420          3  12      1008             2|13         low Small-Large isolated
## 1421          3  12      1008             2|13         low Small-Large isolated
## 1422          3  12      1008             2|13         low Small-Large isolated
## 1423          3  12      1008             2|13         low Small-Large isolated
## 1424          3  12      1008             2|13         low Small-Large isolated
## 1425          3  12      1008             2|13         low Small-Large isolated
## 1426          3  12      1008             2|13         low Small-Large isolated
## 1427          3  12      1008             2|13         low Small-Large isolated
## 1428          3  12      1008             2|13         low Small-Large isolated
## 1429          3  12      1008             2|13         low Small-Large isolated
## 1430          3  12      1008             2|13         low Small-Large isolated
## 1431          3  12      1008             2|13         low Small-Large isolated
## 1432          3  12      1008             2|13         low Small-Large isolated
## 1433          3  12      1008             2|13         low Small-Large isolated
## 1434          3  12      1008             2|13         low Small-Large isolated
## 1435          3  12      1008             2|13         low Small-Large isolated
## 1436          3  12      1008             2|13         low Small-Large isolated
## 1437          3  12      1008             2|13         low Small-Large isolated
## 1438          3  12      1008             2|13         low Small-Large isolated
## 1439          3  12      1008             2|13         low Small-Large isolated
## 1440          3  12      1008             2|13         low Small-Large isolated
## 1441          4  16      1008             2|13         low Small-Large isolated
## 1442          4  16      1008             2|13         low Small-Large isolated
## 1443          4  16      1008             2|13         low Small-Large isolated
## 1444          4  16      1008             2|13         low Small-Large isolated
## 1445          4  16      1008             2|13         low Small-Large isolated
## 1446          4  16      1008             2|13         low Small-Large isolated
## 1447          4  16      1008             2|13         low Small-Large isolated
## 1448          4  16      1008             2|13         low Small-Large isolated
## 1449          4  16      1008             2|13         low Small-Large isolated
## 1450          4  16      1008             2|13         low Small-Large isolated
## 1451          4  16      1008             2|13         low Small-Large isolated
## 1452          4  16      1008             2|13         low Small-Large isolated
## 1453          4  16      1008             2|13         low Small-Large isolated
## 1454          4  16      1008             2|13         low Small-Large isolated
## 1455          4  16      1008             2|13         low Small-Large isolated
## 1456          4  16      1008             2|13         low Small-Large isolated
## 1457          4  16      1008             2|13         low Small-Large isolated
## 1458          4  16      1008             2|13         low Small-Large isolated
## 1459          4  16      1008             2|13         low Small-Large isolated
## 1460          4  16      1008             2|13         low Small-Large isolated
## 1461          4  16      1008             2|13         low Small-Large isolated
## 1462          4  16      1008             2|13         low Small-Large isolated
## 1463          4  16      1008             2|13         low Small-Large isolated
## 1464          4  16      1008             2|13         low Small-Large isolated
## 1465          5  20      1008             2|13         low Small-Large isolated
## 1466          5  20      1008             2|13         low Small-Large isolated
## 1467          5  20      1008             2|13         low Small-Large isolated
## 1468          5  20      1008             2|13         low Small-Large isolated
## 1469          5  20      1008             2|13         low Small-Large isolated
## 1470          5  20      1008             2|13         low Small-Large isolated
## 1471          5  20      1008             2|13         low Small-Large isolated
## 1472          5  20      1008             2|13         low Small-Large isolated
## 1473          5  20      1008             2|13         low Small-Large isolated
## 1474          5  20      1008             2|13         low Small-Large isolated
## 1475          5  20      1008             2|13         low Small-Large isolated
## 1476          5  20      1008             2|13         low Small-Large isolated
## 1477          5  20      1008             2|13         low Small-Large isolated
## 1478          5  20      1008             2|13         low Small-Large isolated
## 1479          5  20      1008             2|13         low Small-Large isolated
## 1480          5  20      1008             2|13         low Small-Large isolated
## 1481          5  20      1008             2|13         low Small-Large isolated
## 1482          5  20      1008             2|13         low Small-Large isolated
## 1483          5  20      1008             2|13         low Small-Large isolated
## 1484          5  20      1008             2|13         low Small-Large isolated
## 1485          5  20      1008             2|13         low Small-Large isolated
## 1486          5  20      1008             2|13         low Small-Large isolated
## 1487          5  20      1008             2|13         low Small-Large isolated
## 1488          5  20      1008             2|13         low Small-Large isolated
## 1489          6  24      1008             2|13         low Small-Large isolated
## 1490          6  24      1008             2|13         low Small-Large isolated
## 1491          6  24      1008             2|13         low Small-Large isolated
## 1492          6  24      1008             2|13         low Small-Large isolated
## 1493          6  24      1008             2|13         low Small-Large isolated
## 1494          6  24      1008             2|13         low Small-Large isolated
## 1495          6  24      1008             2|13         low Small-Large isolated
## 1496          6  24      1008             2|13         low Small-Large isolated
## 1497          6  24      1008             2|13         low Small-Large isolated
## 1498          6  24      1008             2|13         low Small-Large isolated
## 1499          6  24      1008             2|13         low Small-Large isolated
## 1500          6  24      1008             2|13         low Small-Large isolated
## 1501          6  24      1008             2|13         low Small-Large isolated
## 1502          6  24      1008             2|13         low Small-Large isolated
## 1503          6  24      1008             2|13         low Small-Large isolated
## 1504          6  24      1008             2|13         low Small-Large isolated
## 1505          6  24      1008             2|13         low Small-Large isolated
## 1506          6  24      1008             2|13         low Small-Large isolated
## 1507          6  24      1008             2|13         low Small-Large isolated
## 1508          6  24      1008             2|13         low Small-Large isolated
## 1509          6  24      1008             2|13         low Small-Large isolated
## 1510          6  24      1008             2|13         low Small-Large isolated
## 1511          6  24      1008             2|13         low Small-Large isolated
## 1512          6  24      1008             2|13         low Small-Large isolated
## 1513          7  28      1008             2|13         low Small-Large isolated
## 1514          7  28      1008             2|13         low Small-Large isolated
## 1515          7  28      1008             2|13         low Small-Large isolated
## 1516          7  28      1008             2|13         low Small-Large isolated
## 1517          7  28      1008             2|13         low Small-Large isolated
## 1518          7  28      1008             2|13         low Small-Large isolated
## 1519          7  28      1008             2|13         low Small-Large isolated
## 1520          7  28      1008             2|13         low Small-Large isolated
## 1521          7  28      1008             2|13         low Small-Large isolated
## 1522          7  28      1008             2|13         low Small-Large isolated
## 1523          7  28      1008             2|13         low Small-Large isolated
## 1524          7  28      1008             2|13         low Small-Large isolated
## 1525          7  28      1008             2|13         low Small-Large isolated
## 1526          7  28      1008             2|13         low Small-Large isolated
## 1527          7  28      1008             2|13         low Small-Large isolated
## 1528          7  28      1008             2|13         low Small-Large isolated
## 1529          7  28      1008             2|13         low Small-Large isolated
## 1530          7  28      1008             2|13         low Small-Large isolated
## 1531          7  28      1008             2|13         low Small-Large isolated
## 1532          7  28      1008             2|13         low Small-Large isolated
## 1533          7  28      1008             2|13         low Small-Large isolated
## 1534          7  28      1008             2|13         low Small-Large isolated
## 1535          7  28      1008             2|13         low Small-Large isolated
## 1536          7  28      1008             2|13         low Small-Large isolated
## 1537          0   0      1009             2|14         low Small-Large isolated
## 1538          0   0      1009             2|14         low Small-Large isolated
## 1539          0   0      1009             2|14         low Small-Large isolated
## 1540          0   0      1009             2|14         low Small-Large isolated
## 1541          0   0      1009             2|14         low Small-Large isolated
## 1542          0   0      1009             2|14         low Small-Large isolated
## 1543          0   0      1009             2|14         low Small-Large isolated
## 1544          0   0      1009             2|14         low Small-Large isolated
## 1545          0   0      1009             2|14         low Small-Large isolated
## 1546          0   0      1009             2|14         low Small-Large isolated
## 1547          0   0      1009             2|14         low Small-Large isolated
## 1548          0   0      1009             2|14         low Small-Large isolated
## 1549          0   0      1009             2|14         low Small-Large isolated
## 1550          0   0      1009             2|14         low Small-Large isolated
## 1551          0   0      1009             2|14         low Small-Large isolated
## 1552          0   0      1009             2|14         low Small-Large isolated
## 1553          0   0      1009             2|14         low Small-Large isolated
## 1554          0   0      1009             2|14         low Small-Large isolated
## 1555          0   0      1009             2|14         low Small-Large isolated
## 1556          0   0      1009             2|14         low Small-Large isolated
## 1557          0   0      1009             2|14         low Small-Large isolated
## 1558          0   0      1009             2|14         low Small-Large isolated
## 1559          0   0      1009             2|14         low Small-Large isolated
## 1560          0   0      1009             2|14         low Small-Large isolated
## 1561          1   4      1009             2|14         low Small-Large isolated
## 1562          1   4      1009             2|14         low Small-Large isolated
## 1563          1   4      1009             2|14         low Small-Large isolated
## 1564          1   4      1009             2|14         low Small-Large isolated
## 1565          1   4      1009             2|14         low Small-Large isolated
## 1566          1   4      1009             2|14         low Small-Large isolated
## 1567          1   4      1009             2|14         low Small-Large isolated
## 1568          1   4      1009             2|14         low Small-Large isolated
## 1569          1   4      1009             2|14         low Small-Large isolated
## 1570          1   4      1009             2|14         low Small-Large isolated
## 1571          1   4      1009             2|14         low Small-Large isolated
## 1572          1   4      1009             2|14         low Small-Large isolated
## 1573          1   4      1009             2|14         low Small-Large isolated
## 1574          1   4      1009             2|14         low Small-Large isolated
## 1575          1   4      1009             2|14         low Small-Large isolated
## 1576          1   4      1009             2|14         low Small-Large isolated
## 1577          1   4      1009             2|14         low Small-Large isolated
## 1578          1   4      1009             2|14         low Small-Large isolated
## 1579          1   4      1009             2|14         low Small-Large isolated
## 1580          1   4      1009             2|14         low Small-Large isolated
## 1581          1   4      1009             2|14         low Small-Large isolated
## 1582          1   4      1009             2|14         low Small-Large isolated
## 1583          1   4      1009             2|14         low Small-Large isolated
## 1584          1   4      1009             2|14         low Small-Large isolated
## 1585          2   8      1009             2|14         low Small-Large isolated
## 1586          2   8      1009             2|14         low Small-Large isolated
## 1587          2   8      1009             2|14         low Small-Large isolated
## 1588          2   8      1009             2|14         low Small-Large isolated
## 1589          2   8      1009             2|14         low Small-Large isolated
## 1590          2   8      1009             2|14         low Small-Large isolated
## 1591          2   8      1009             2|14         low Small-Large isolated
## 1592          2   8      1009             2|14         low Small-Large isolated
## 1593          2   8      1009             2|14         low Small-Large isolated
## 1594          2   8      1009             2|14         low Small-Large isolated
## 1595          2   8      1009             2|14         low Small-Large isolated
## 1596          2   8      1009             2|14         low Small-Large isolated
## 1597          2   8      1009             2|14         low Small-Large isolated
## 1598          2   8      1009             2|14         low Small-Large isolated
## 1599          2   8      1009             2|14         low Small-Large isolated
## 1600          2   8      1009             2|14         low Small-Large isolated
## 1601          2   8      1009             2|14         low Small-Large isolated
## 1602          2   8      1009             2|14         low Small-Large isolated
## 1603          2   8      1009             2|14         low Small-Large isolated
## 1604          2   8      1009             2|14         low Small-Large isolated
## 1605          2   8      1009             2|14         low Small-Large isolated
## 1606          2   8      1009             2|14         low Small-Large isolated
## 1607          2   8      1009             2|14         low Small-Large isolated
## 1608          2   8      1009             2|14         low Small-Large isolated
## 1609          3  12      1009             2|14         low Small-Large isolated
## 1610          3  12      1009             2|14         low Small-Large isolated
## 1611          3  12      1009             2|14         low Small-Large isolated
## 1612          3  12      1009             2|14         low Small-Large isolated
## 1613          3  12      1009             2|14         low Small-Large isolated
## 1614          3  12      1009             2|14         low Small-Large isolated
## 1615          3  12      1009             2|14         low Small-Large isolated
## 1616          3  12      1009             2|14         low Small-Large isolated
## 1617          3  12      1009             2|14         low Small-Large isolated
## 1618          3  12      1009             2|14         low Small-Large isolated
## 1619          3  12      1009             2|14         low Small-Large isolated
## 1620          3  12      1009             2|14         low Small-Large isolated
## 1621          3  12      1009             2|14         low Small-Large isolated
## 1622          3  12      1009             2|14         low Small-Large isolated
## 1623          3  12      1009             2|14         low Small-Large isolated
## 1624          3  12      1009             2|14         low Small-Large isolated
## 1625          3  12      1009             2|14         low Small-Large isolated
## 1626          3  12      1009             2|14         low Small-Large isolated
## 1627          3  12      1009             2|14         low Small-Large isolated
## 1628          3  12      1009             2|14         low Small-Large isolated
## 1629          3  12      1009             2|14         low Small-Large isolated
## 1630          3  12      1009             2|14         low Small-Large isolated
## 1631          3  12      1009             2|14         low Small-Large isolated
## 1632          3  12      1009             2|14         low Small-Large isolated
## 1633          4  16      1009             2|14         low Small-Large isolated
## 1634          4  16      1009             2|14         low Small-Large isolated
## 1635          4  16      1009             2|14         low Small-Large isolated
## 1636          4  16      1009             2|14         low Small-Large isolated
## 1637          4  16      1009             2|14         low Small-Large isolated
## 1638          4  16      1009             2|14         low Small-Large isolated
## 1639          4  16      1009             2|14         low Small-Large isolated
## 1640          4  16      1009             2|14         low Small-Large isolated
## 1641          4  16      1009             2|14         low Small-Large isolated
## 1642          4  16      1009             2|14         low Small-Large isolated
## 1643          4  16      1009             2|14         low Small-Large isolated
## 1644          4  16      1009             2|14         low Small-Large isolated
## 1645          4  16      1009             2|14         low Small-Large isolated
## 1646          4  16      1009             2|14         low Small-Large isolated
## 1647          4  16      1009             2|14         low Small-Large isolated
## 1648          4  16      1009             2|14         low Small-Large isolated
## 1649          4  16      1009             2|14         low Small-Large isolated
## 1650          4  16      1009             2|14         low Small-Large isolated
## 1651          4  16      1009             2|14         low Small-Large isolated
## 1652          4  16      1009             2|14         low Small-Large isolated
## 1653          4  16      1009             2|14         low Small-Large isolated
## 1654          4  16      1009             2|14         low Small-Large isolated
## 1655          4  16      1009             2|14         low Small-Large isolated
## 1656          4  16      1009             2|14         low Small-Large isolated
## 1657          5  20      1009             2|14         low Small-Large isolated
## 1658          5  20      1009             2|14         low Small-Large isolated
## 1659          5  20      1009             2|14         low Small-Large isolated
## 1660          5  20      1009             2|14         low Small-Large isolated
## 1661          5  20      1009             2|14         low Small-Large isolated
## 1662          5  20      1009             2|14         low Small-Large isolated
## 1663          5  20      1009             2|14         low Small-Large isolated
## 1664          5  20      1009             2|14         low Small-Large isolated
## 1665          5  20      1009             2|14         low Small-Large isolated
## 1666          5  20      1009             2|14         low Small-Large isolated
## 1667          5  20      1009             2|14         low Small-Large isolated
## 1668          5  20      1009             2|14         low Small-Large isolated
## 1669          5  20      1009             2|14         low Small-Large isolated
## 1670          5  20      1009             2|14         low Small-Large isolated
## 1671          5  20      1009             2|14         low Small-Large isolated
## 1672          5  20      1009             2|14         low Small-Large isolated
## 1673          5  20      1009             2|14         low Small-Large isolated
## 1674          5  20      1009             2|14         low Small-Large isolated
## 1675          5  20      1009             2|14         low Small-Large isolated
## 1676          5  20      1009             2|14         low Small-Large isolated
## 1677          5  20      1009             2|14         low Small-Large isolated
## 1678          5  20      1009             2|14         low Small-Large isolated
## 1679          5  20      1009             2|14         low Small-Large isolated
## 1680          5  20      1009             2|14         low Small-Large isolated
## 1681          6  24      1009             2|14         low Small-Large isolated
## 1682          6  24      1009             2|14         low Small-Large isolated
## 1683          6  24      1009             2|14         low Small-Large isolated
## 1684          6  24      1009             2|14         low Small-Large isolated
## 1685          6  24      1009             2|14         low Small-Large isolated
## 1686          6  24      1009             2|14         low Small-Large isolated
## 1687          6  24      1009             2|14         low Small-Large isolated
## 1688          6  24      1009             2|14         low Small-Large isolated
## 1689          6  24      1009             2|14         low Small-Large isolated
## 1690          6  24      1009             2|14         low Small-Large isolated
## 1691          6  24      1009             2|14         low Small-Large isolated
## 1692          6  24      1009             2|14         low Small-Large isolated
## 1693          6  24      1009             2|14         low Small-Large isolated
## 1694          6  24      1009             2|14         low Small-Large isolated
## 1695          6  24      1009             2|14         low Small-Large isolated
## 1696          6  24      1009             2|14         low Small-Large isolated
## 1697          6  24      1009             2|14         low Small-Large isolated
## 1698          6  24      1009             2|14         low Small-Large isolated
## 1699          6  24      1009             2|14         low Small-Large isolated
## 1700          6  24      1009             2|14         low Small-Large isolated
## 1701          6  24      1009             2|14         low Small-Large isolated
## 1702          6  24      1009             2|14         low Small-Large isolated
## 1703          6  24      1009             2|14         low Small-Large isolated
## 1704          6  24      1009             2|14         low Small-Large isolated
## 1705          7  28      1009             2|14         low Small-Large isolated
## 1706          7  28      1009             2|14         low Small-Large isolated
## 1707          7  28      1009             2|14         low Small-Large isolated
## 1708          7  28      1009             2|14         low Small-Large isolated
## 1709          7  28      1009             2|14         low Small-Large isolated
## 1710          7  28      1009             2|14         low Small-Large isolated
## 1711          7  28      1009             2|14         low Small-Large isolated
## 1712          7  28      1009             2|14         low Small-Large isolated
## 1713          7  28      1009             2|14         low Small-Large isolated
## 1714          7  28      1009             2|14         low Small-Large isolated
## 1715          7  28      1009             2|14         low Small-Large isolated
## 1716          7  28      1009             2|14         low Small-Large isolated
## 1717          7  28      1009             2|14         low Small-Large isolated
## 1718          7  28      1009             2|14         low Small-Large isolated
## 1719          7  28      1009             2|14         low Small-Large isolated
## 1720          7  28      1009             2|14         low Small-Large isolated
## 1721          7  28      1009             2|14         low Small-Large isolated
## 1722          7  28      1009             2|14         low Small-Large isolated
## 1723          7  28      1009             2|14         low Small-Large isolated
## 1724          7  28      1009             2|14         low Small-Large isolated
## 1725          7  28      1009             2|14         low Small-Large isolated
## 1726          7  28      1009             2|14         low Small-Large isolated
## 1727          7  28      1009             2|14         low Small-Large isolated
## 1728          7  28      1009             2|14         low Small-Large isolated
## 1729          0   0      1010             2|15         low Small-Large isolated
## 1730          0   0      1010             2|15         low Small-Large isolated
## 1731          0   0      1010             2|15         low Small-Large isolated
## 1732          0   0      1010             2|15         low Small-Large isolated
## 1733          0   0      1010             2|15         low Small-Large isolated
## 1734          0   0      1010             2|15         low Small-Large isolated
## 1735          0   0      1010             2|15         low Small-Large isolated
## 1736          0   0      1010             2|15         low Small-Large isolated
## 1737          0   0      1010             2|15         low Small-Large isolated
## 1738          0   0      1010             2|15         low Small-Large isolated
## 1739          0   0      1010             2|15         low Small-Large isolated
## 1740          0   0      1010             2|15         low Small-Large isolated
## 1741          0   0      1010             2|15         low Small-Large isolated
## 1742          0   0      1010             2|15         low Small-Large isolated
## 1743          0   0      1010             2|15         low Small-Large isolated
## 1744          0   0      1010             2|15         low Small-Large isolated
## 1745          0   0      1010             2|15         low Small-Large isolated
## 1746          0   0      1010             2|15         low Small-Large isolated
## 1747          0   0      1010             2|15         low Small-Large isolated
## 1748          0   0      1010             2|15         low Small-Large isolated
## 1749          0   0      1010             2|15         low Small-Large isolated
## 1750          0   0      1010             2|15         low Small-Large isolated
## 1751          0   0      1010             2|15         low Small-Large isolated
## 1752          0   0      1010             2|15         low Small-Large isolated
## 1753          1   4      1010             2|15         low Small-Large isolated
## 1754          1   4      1010             2|15         low Small-Large isolated
## 1755          1   4      1010             2|15         low Small-Large isolated
## 1756          1   4      1010             2|15         low Small-Large isolated
## 1757          1   4      1010             2|15         low Small-Large isolated
## 1758          1   4      1010             2|15         low Small-Large isolated
## 1759          1   4      1010             2|15         low Small-Large isolated
## 1760          1   4      1010             2|15         low Small-Large isolated
## 1761          1   4      1010             2|15         low Small-Large isolated
## 1762          1   4      1010             2|15         low Small-Large isolated
## 1763          1   4      1010             2|15         low Small-Large isolated
## 1764          1   4      1010             2|15         low Small-Large isolated
## 1765          1   4      1010             2|15         low Small-Large isolated
## 1766          1   4      1010             2|15         low Small-Large isolated
## 1767          1   4      1010             2|15         low Small-Large isolated
## 1768          1   4      1010             2|15         low Small-Large isolated
## 1769          1   4      1010             2|15         low Small-Large isolated
## 1770          1   4      1010             2|15         low Small-Large isolated
## 1771          1   4      1010             2|15         low Small-Large isolated
## 1772          1   4      1010             2|15         low Small-Large isolated
## 1773          1   4      1010             2|15         low Small-Large isolated
## 1774          1   4      1010             2|15         low Small-Large isolated
## 1775          1   4      1010             2|15         low Small-Large isolated
## 1776          1   4      1010             2|15         low Small-Large isolated
## 1777          2   8      1010             2|15         low Small-Large isolated
## 1778          2   8      1010             2|15         low Small-Large isolated
## 1779          2   8      1010             2|15         low Small-Large isolated
## 1780          2   8      1010             2|15         low Small-Large isolated
## 1781          2   8      1010             2|15         low Small-Large isolated
## 1782          2   8      1010             2|15         low Small-Large isolated
## 1783          2   8      1010             2|15         low Small-Large isolated
## 1784          2   8      1010             2|15         low Small-Large isolated
## 1785          2   8      1010             2|15         low Small-Large isolated
## 1786          2   8      1010             2|15         low Small-Large isolated
## 1787          2   8      1010             2|15         low Small-Large isolated
## 1788          2   8      1010             2|15         low Small-Large isolated
## 1789          2   8      1010             2|15         low Small-Large isolated
## 1790          2   8      1010             2|15         low Small-Large isolated
## 1791          2   8      1010             2|15         low Small-Large isolated
## 1792          2   8      1010             2|15         low Small-Large isolated
## 1793          2   8      1010             2|15         low Small-Large isolated
## 1794          2   8      1010             2|15         low Small-Large isolated
## 1795          2   8      1010             2|15         low Small-Large isolated
## 1796          2   8      1010             2|15         low Small-Large isolated
## 1797          2   8      1010             2|15         low Small-Large isolated
## 1798          2   8      1010             2|15         low Small-Large isolated
## 1799          2   8      1010             2|15         low Small-Large isolated
## 1800          2   8      1010             2|15         low Small-Large isolated
## 1801          3  12      1010             2|15         low Small-Large isolated
## 1802          3  12      1010             2|15         low Small-Large isolated
## 1803          3  12      1010             2|15         low Small-Large isolated
## 1804          3  12      1010             2|15         low Small-Large isolated
## 1805          3  12      1010             2|15         low Small-Large isolated
## 1806          3  12      1010             2|15         low Small-Large isolated
## 1807          3  12      1010             2|15         low Small-Large isolated
## 1808          3  12      1010             2|15         low Small-Large isolated
## 1809          3  12      1010             2|15         low Small-Large isolated
## 1810          3  12      1010             2|15         low Small-Large isolated
## 1811          3  12      1010             2|15         low Small-Large isolated
## 1812          3  12      1010             2|15         low Small-Large isolated
## 1813          3  12      1010             2|15         low Small-Large isolated
## 1814          3  12      1010             2|15         low Small-Large isolated
## 1815          3  12      1010             2|15         low Small-Large isolated
## 1816          3  12      1010             2|15         low Small-Large isolated
## 1817          3  12      1010             2|15         low Small-Large isolated
## 1818          3  12      1010             2|15         low Small-Large isolated
## 1819          3  12      1010             2|15         low Small-Large isolated
## 1820          3  12      1010             2|15         low Small-Large isolated
## 1821          3  12      1010             2|15         low Small-Large isolated
## 1822          3  12      1010             2|15         low Small-Large isolated
## 1823          3  12      1010             2|15         low Small-Large isolated
## 1824          3  12      1010             2|15         low Small-Large isolated
## 1825          4  16      1010             2|15         low Small-Large isolated
## 1826          4  16      1010             2|15         low Small-Large isolated
## 1827          4  16      1010             2|15         low Small-Large isolated
## 1828          4  16      1010             2|15         low Small-Large isolated
## 1829          4  16      1010             2|15         low Small-Large isolated
## 1830          4  16      1010             2|15         low Small-Large isolated
## 1831          4  16      1010             2|15         low Small-Large isolated
## 1832          4  16      1010             2|15         low Small-Large isolated
## 1833          4  16      1010             2|15         low Small-Large isolated
## 1834          4  16      1010             2|15         low Small-Large isolated
## 1835          4  16      1010             2|15         low Small-Large isolated
## 1836          4  16      1010             2|15         low Small-Large isolated
## 1837          4  16      1010             2|15         low Small-Large isolated
## 1838          4  16      1010             2|15         low Small-Large isolated
## 1839          4  16      1010             2|15         low Small-Large isolated
## 1840          4  16      1010             2|15         low Small-Large isolated
## 1841          4  16      1010             2|15         low Small-Large isolated
## 1842          4  16      1010             2|15         low Small-Large isolated
## 1843          4  16      1010             2|15         low Small-Large isolated
## 1844          4  16      1010             2|15         low Small-Large isolated
## 1845          4  16      1010             2|15         low Small-Large isolated
## 1846          4  16      1010             2|15         low Small-Large isolated
## 1847          4  16      1010             2|15         low Small-Large isolated
## 1848          4  16      1010             2|15         low Small-Large isolated
## 1849          5  20      1010             2|15         low Small-Large isolated
## 1850          5  20      1010             2|15         low Small-Large isolated
## 1851          5  20      1010             2|15         low Small-Large isolated
## 1852          5  20      1010             2|15         low Small-Large isolated
## 1853          5  20      1010             2|15         low Small-Large isolated
## 1854          5  20      1010             2|15         low Small-Large isolated
## 1855          5  20      1010             2|15         low Small-Large isolated
## 1856          5  20      1010             2|15         low Small-Large isolated
## 1857          5  20      1010             2|15         low Small-Large isolated
## 1858          5  20      1010             2|15         low Small-Large isolated
## 1859          5  20      1010             2|15         low Small-Large isolated
## 1860          5  20      1010             2|15         low Small-Large isolated
## 1861          5  20      1010             2|15         low Small-Large isolated
## 1862          5  20      1010             2|15         low Small-Large isolated
## 1863          5  20      1010             2|15         low Small-Large isolated
## 1864          5  20      1010             2|15         low Small-Large isolated
## 1865          5  20      1010             2|15         low Small-Large isolated
## 1866          5  20      1010             2|15         low Small-Large isolated
## 1867          5  20      1010             2|15         low Small-Large isolated
## 1868          5  20      1010             2|15         low Small-Large isolated
## 1869          5  20      1010             2|15         low Small-Large isolated
## 1870          5  20      1010             2|15         low Small-Large isolated
## 1871          5  20      1010             2|15         low Small-Large isolated
## 1872          5  20      1010             2|15         low Small-Large isolated
## 1873          6  24      1010             2|15         low Small-Large isolated
## 1874          6  24      1010             2|15         low Small-Large isolated
## 1875          6  24      1010             2|15         low Small-Large isolated
## 1876          6  24      1010             2|15         low Small-Large isolated
## 1877          6  24      1010             2|15         low Small-Large isolated
## 1878          6  24      1010             2|15         low Small-Large isolated
## 1879          6  24      1010             2|15         low Small-Large isolated
## 1880          6  24      1010             2|15         low Small-Large isolated
## 1881          6  24      1010             2|15         low Small-Large isolated
## 1882          6  24      1010             2|15         low Small-Large isolated
## 1883          6  24      1010             2|15         low Small-Large isolated
## 1884          6  24      1010             2|15         low Small-Large isolated
## 1885          6  24      1010             2|15         low Small-Large isolated
## 1886          6  24      1010             2|15         low Small-Large isolated
## 1887          6  24      1010             2|15         low Small-Large isolated
## 1888          6  24      1010             2|15         low Small-Large isolated
## 1889          6  24      1010             2|15         low Small-Large isolated
## 1890          6  24      1010             2|15         low Small-Large isolated
## 1891          6  24      1010             2|15         low Small-Large isolated
## 1892          6  24      1010             2|15         low Small-Large isolated
## 1893          6  24      1010             2|15         low Small-Large isolated
## 1894          6  24      1010             2|15         low Small-Large isolated
## 1895          6  24      1010             2|15         low Small-Large isolated
## 1896          6  24      1010             2|15         low Small-Large isolated
## 1897          7  28      1010             2|15         low Small-Large isolated
## 1898          7  28      1010             2|15         low Small-Large isolated
## 1899          7  28      1010             2|15         low Small-Large isolated
## 1900          7  28      1010             2|15         low Small-Large isolated
## 1901          7  28      1010             2|15         low Small-Large isolated
## 1902          7  28      1010             2|15         low Small-Large isolated
## 1903          7  28      1010             2|15         low Small-Large isolated
## 1904          7  28      1010             2|15         low Small-Large isolated
## 1905          7  28      1010             2|15         low Small-Large isolated
## 1906          7  28      1010             2|15         low Small-Large isolated
## 1907          7  28      1010             2|15         low Small-Large isolated
## 1908          7  28      1010             2|15         low Small-Large isolated
## 1909          7  28      1010             2|15         low Small-Large isolated
## 1910          7  28      1010             2|15         low Small-Large isolated
## 1911          7  28      1010             2|15         low Small-Large isolated
## 1912          7  28      1010             2|15         low Small-Large isolated
## 1913          7  28      1010             2|15         low Small-Large isolated
## 1914          7  28      1010             2|15         low Small-Large isolated
## 1915          7  28      1010             2|15         low Small-Large isolated
## 1916          7  28      1010             2|15         low Small-Large isolated
## 1917          7  28      1010             2|15         low Small-Large isolated
## 1918          7  28      1010             2|15         low Small-Large isolated
## 1919          7  28      1010             2|15         low Small-Large isolated
## 1920          7  28      1010             2|15         low Small-Large isolated
## 1921          0   0      1011             3|11         low Small-Large isolated
## 1922          0   0      1011             3|11         low Small-Large isolated
## 1923          0   0      1011             3|11         low Small-Large isolated
## 1924          0   0      1011             3|11         low Small-Large isolated
## 1925          0   0      1011             3|11         low Small-Large isolated
## 1926          0   0      1011             3|11         low Small-Large isolated
## 1927          0   0      1011             3|11         low Small-Large isolated
## 1928          0   0      1011             3|11         low Small-Large isolated
## 1929          0   0      1011             3|11         low Small-Large isolated
## 1930          0   0      1011             3|11         low Small-Large isolated
## 1931          0   0      1011             3|11         low Small-Large isolated
## 1932          0   0      1011             3|11         low Small-Large isolated
## 1933          0   0      1011             3|11         low Small-Large isolated
## 1934          0   0      1011             3|11         low Small-Large isolated
## 1935          0   0      1011             3|11         low Small-Large isolated
## 1936          0   0      1011             3|11         low Small-Large isolated
## 1937          0   0      1011             3|11         low Small-Large isolated
## 1938          0   0      1011             3|11         low Small-Large isolated
## 1939          0   0      1011             3|11         low Small-Large isolated
## 1940          0   0      1011             3|11         low Small-Large isolated
## 1941          0   0      1011             3|11         low Small-Large isolated
## 1942          0   0      1011             3|11         low Small-Large isolated
## 1943          0   0      1011             3|11         low Small-Large isolated
## 1944          0   0      1011             3|11         low Small-Large isolated
## 1945          1   4      1011             3|11         low Small-Large isolated
## 1946          1   4      1011             3|11         low Small-Large isolated
## 1947          1   4      1011             3|11         low Small-Large isolated
## 1948          1   4      1011             3|11         low Small-Large isolated
## 1949          1   4      1011             3|11         low Small-Large isolated
## 1950          1   4      1011             3|11         low Small-Large isolated
## 1951          1   4      1011             3|11         low Small-Large isolated
## 1952          1   4      1011             3|11         low Small-Large isolated
## 1953          1   4      1011             3|11         low Small-Large isolated
## 1954          1   4      1011             3|11         low Small-Large isolated
## 1955          1   4      1011             3|11         low Small-Large isolated
## 1956          1   4      1011             3|11         low Small-Large isolated
## 1957          1   4      1011             3|11         low Small-Large isolated
## 1958          1   4      1011             3|11         low Small-Large isolated
## 1959          1   4      1011             3|11         low Small-Large isolated
## 1960          1   4      1011             3|11         low Small-Large isolated
## 1961          1   4      1011             3|11         low Small-Large isolated
## 1962          1   4      1011             3|11         low Small-Large isolated
## 1963          1   4      1011             3|11         low Small-Large isolated
## 1964          1   4      1011             3|11         low Small-Large isolated
## 1965          1   4      1011             3|11         low Small-Large isolated
## 1966          1   4      1011             3|11         low Small-Large isolated
## 1967          1   4      1011             3|11         low Small-Large isolated
## 1968          1   4      1011             3|11         low Small-Large isolated
## 1969          2   8      1011             3|11         low Small-Large isolated
## 1970          2   8      1011             3|11         low Small-Large isolated
## 1971          2   8      1011             3|11         low Small-Large isolated
## 1972          2   8      1011             3|11         low Small-Large isolated
## 1973          2   8      1011             3|11         low Small-Large isolated
## 1974          2   8      1011             3|11         low Small-Large isolated
## 1975          2   8      1011             3|11         low Small-Large isolated
## 1976          2   8      1011             3|11         low Small-Large isolated
## 1977          2   8      1011             3|11         low Small-Large isolated
## 1978          2   8      1011             3|11         low Small-Large isolated
## 1979          2   8      1011             3|11         low Small-Large isolated
## 1980          2   8      1011             3|11         low Small-Large isolated
## 1981          2   8      1011             3|11         low Small-Large isolated
## 1982          2   8      1011             3|11         low Small-Large isolated
## 1983          2   8      1011             3|11         low Small-Large isolated
## 1984          2   8      1011             3|11         low Small-Large isolated
## 1985          2   8      1011             3|11         low Small-Large isolated
## 1986          2   8      1011             3|11         low Small-Large isolated
## 1987          2   8      1011             3|11         low Small-Large isolated
## 1988          2   8      1011             3|11         low Small-Large isolated
## 1989          2   8      1011             3|11         low Small-Large isolated
## 1990          2   8      1011             3|11         low Small-Large isolated
## 1991          2   8      1011             3|11         low Small-Large isolated
## 1992          2   8      1011             3|11         low Small-Large isolated
## 1993          3  12      1011             3|11         low Small-Large isolated
## 1994          3  12      1011             3|11         low Small-Large isolated
## 1995          3  12      1011             3|11         low Small-Large isolated
## 1996          3  12      1011             3|11         low Small-Large isolated
## 1997          3  12      1011             3|11         low Small-Large isolated
## 1998          3  12      1011             3|11         low Small-Large isolated
## 1999          3  12      1011             3|11         low Small-Large isolated
## 2000          3  12      1011             3|11         low Small-Large isolated
## 2001          3  12      1011             3|11         low Small-Large isolated
## 2002          3  12      1011             3|11         low Small-Large isolated
## 2003          3  12      1011             3|11         low Small-Large isolated
## 2004          3  12      1011             3|11         low Small-Large isolated
## 2005          3  12      1011             3|11         low Small-Large isolated
## 2006          3  12      1011             3|11         low Small-Large isolated
## 2007          3  12      1011             3|11         low Small-Large isolated
## 2008          3  12      1011             3|11         low Small-Large isolated
## 2009          3  12      1011             3|11         low Small-Large isolated
## 2010          3  12      1011             3|11         low Small-Large isolated
## 2011          3  12      1011             3|11         low Small-Large isolated
## 2012          3  12      1011             3|11         low Small-Large isolated
## 2013          3  12      1011             3|11         low Small-Large isolated
## 2014          3  12      1011             3|11         low Small-Large isolated
## 2015          3  12      1011             3|11         low Small-Large isolated
## 2016          3  12      1011             3|11         low Small-Large isolated
## 2017          4  16      1011             3|11         low Small-Large isolated
## 2018          4  16      1011             3|11         low Small-Large isolated
## 2019          4  16      1011             3|11         low Small-Large isolated
## 2020          4  16      1011             3|11         low Small-Large isolated
## 2021          4  16      1011             3|11         low Small-Large isolated
## 2022          4  16      1011             3|11         low Small-Large isolated
## 2023          4  16      1011             3|11         low Small-Large isolated
## 2024          4  16      1011             3|11         low Small-Large isolated
## 2025          4  16      1011             3|11         low Small-Large isolated
## 2026          4  16      1011             3|11         low Small-Large isolated
## 2027          4  16      1011             3|11         low Small-Large isolated
## 2028          4  16      1011             3|11         low Small-Large isolated
## 2029          4  16      1011             3|11         low Small-Large isolated
## 2030          4  16      1011             3|11         low Small-Large isolated
## 2031          4  16      1011             3|11         low Small-Large isolated
## 2032          4  16      1011             3|11         low Small-Large isolated
## 2033          4  16      1011             3|11         low Small-Large isolated
## 2034          4  16      1011             3|11         low Small-Large isolated
## 2035          4  16      1011             3|11         low Small-Large isolated
## 2036          4  16      1011             3|11         low Small-Large isolated
## 2037          4  16      1011             3|11         low Small-Large isolated
## 2038          4  16      1011             3|11         low Small-Large isolated
## 2039          4  16      1011             3|11         low Small-Large isolated
## 2040          4  16      1011             3|11         low Small-Large isolated
## 2041          5  20      1011             3|11         low Small-Large isolated
## 2042          5  20      1011             3|11         low Small-Large isolated
## 2043          5  20      1011             3|11         low Small-Large isolated
## 2044          5  20      1011             3|11         low Small-Large isolated
## 2045          5  20      1011             3|11         low Small-Large isolated
## 2046          5  20      1011             3|11         low Small-Large isolated
## 2047          5  20      1011             3|11         low Small-Large isolated
## 2048          5  20      1011             3|11         low Small-Large isolated
## 2049          5  20      1011             3|11         low Small-Large isolated
## 2050          5  20      1011             3|11         low Small-Large isolated
## 2051          5  20      1011             3|11         low Small-Large isolated
## 2052          5  20      1011             3|11         low Small-Large isolated
## 2053          5  20      1011             3|11         low Small-Large isolated
## 2054          5  20      1011             3|11         low Small-Large isolated
## 2055          5  20      1011             3|11         low Small-Large isolated
## 2056          5  20      1011             3|11         low Small-Large isolated
## 2057          5  20      1011             3|11         low Small-Large isolated
## 2058          5  20      1011             3|11         low Small-Large isolated
## 2059          5  20      1011             3|11         low Small-Large isolated
## 2060          5  20      1011             3|11         low Small-Large isolated
## 2061          5  20      1011             3|11         low Small-Large isolated
## 2062          5  20      1011             3|11         low Small-Large isolated
## 2063          5  20      1011             3|11         low Small-Large isolated
## 2064          5  20      1011             3|11         low Small-Large isolated
## 2065          6  24      1011             3|11         low Small-Large isolated
## 2066          6  24      1011             3|11         low Small-Large isolated
## 2067          6  24      1011             3|11         low Small-Large isolated
## 2068          6  24      1011             3|11         low Small-Large isolated
## 2069          6  24      1011             3|11         low Small-Large isolated
## 2070          6  24      1011             3|11         low Small-Large isolated
## 2071          6  24      1011             3|11         low Small-Large isolated
## 2072          6  24      1011             3|11         low Small-Large isolated
## 2073          6  24      1011             3|11         low Small-Large isolated
## 2074          6  24      1011             3|11         low Small-Large isolated
## 2075          6  24      1011             3|11         low Small-Large isolated
## 2076          6  24      1011             3|11         low Small-Large isolated
## 2077          6  24      1011             3|11         low Small-Large isolated
## 2078          6  24      1011             3|11         low Small-Large isolated
## 2079          6  24      1011             3|11         low Small-Large isolated
## 2080          6  24      1011             3|11         low Small-Large isolated
## 2081          6  24      1011             3|11         low Small-Large isolated
## 2082          6  24      1011             3|11         low Small-Large isolated
## 2083          6  24      1011             3|11         low Small-Large isolated
## 2084          6  24      1011             3|11         low Small-Large isolated
## 2085          6  24      1011             3|11         low Small-Large isolated
## 2086          6  24      1011             3|11         low Small-Large isolated
## 2087          6  24      1011             3|11         low Small-Large isolated
## 2088          6  24      1011             3|11         low Small-Large isolated
## 2089          7  28      1011             3|11         low Small-Large isolated
## 2090          7  28      1011             3|11         low Small-Large isolated
## 2091          7  28      1011             3|11         low Small-Large isolated
## 2092          7  28      1011             3|11         low Small-Large isolated
## 2093          7  28      1011             3|11         low Small-Large isolated
## 2094          7  28      1011             3|11         low Small-Large isolated
## 2095          7  28      1011             3|11         low Small-Large isolated
## 2096          7  28      1011             3|11         low Small-Large isolated
## 2097          7  28      1011             3|11         low Small-Large isolated
## 2098          7  28      1011             3|11         low Small-Large isolated
## 2099          7  28      1011             3|11         low Small-Large isolated
## 2100          7  28      1011             3|11         low Small-Large isolated
## 2101          7  28      1011             3|11         low Small-Large isolated
## 2102          7  28      1011             3|11         low Small-Large isolated
## 2103          7  28      1011             3|11         low Small-Large isolated
## 2104          7  28      1011             3|11         low Small-Large isolated
## 2105          7  28      1011             3|11         low Small-Large isolated
## 2106          7  28      1011             3|11         low Small-Large isolated
## 2107          7  28      1011             3|11         low Small-Large isolated
## 2108          7  28      1011             3|11         low Small-Large isolated
## 2109          7  28      1011             3|11         low Small-Large isolated
## 2110          7  28      1011             3|11         low Small-Large isolated
## 2111          7  28      1011             3|11         low Small-Large isolated
## 2112          7  28      1011             3|11         low Small-Large isolated
## 2113          0   0      1012             3|12         low Small-Large isolated
## 2114          0   0      1012             3|12         low Small-Large isolated
## 2115          0   0      1012             3|12         low Small-Large isolated
## 2116          0   0      1012             3|12         low Small-Large isolated
## 2117          0   0      1012             3|12         low Small-Large isolated
## 2118          0   0      1012             3|12         low Small-Large isolated
## 2119          0   0      1012             3|12         low Small-Large isolated
## 2120          0   0      1012             3|12         low Small-Large isolated
## 2121          0   0      1012             3|12         low Small-Large isolated
## 2122          0   0      1012             3|12         low Small-Large isolated
## 2123          0   0      1012             3|12         low Small-Large isolated
## 2124          0   0      1012             3|12         low Small-Large isolated
## 2125          0   0      1012             3|12         low Small-Large isolated
## 2126          0   0      1012             3|12         low Small-Large isolated
## 2127          0   0      1012             3|12         low Small-Large isolated
## 2128          0   0      1012             3|12         low Small-Large isolated
## 2129          0   0      1012             3|12         low Small-Large isolated
## 2130          0   0      1012             3|12         low Small-Large isolated
## 2131          0   0      1012             3|12         low Small-Large isolated
## 2132          0   0      1012             3|12         low Small-Large isolated
## 2133          0   0      1012             3|12         low Small-Large isolated
## 2134          0   0      1012             3|12         low Small-Large isolated
## 2135          0   0      1012             3|12         low Small-Large isolated
## 2136          0   0      1012             3|12         low Small-Large isolated
## 2137          1   4      1012             3|12         low Small-Large isolated
## 2138          1   4      1012             3|12         low Small-Large isolated
## 2139          1   4      1012             3|12         low Small-Large isolated
## 2140          1   4      1012             3|12         low Small-Large isolated
## 2141          1   4      1012             3|12         low Small-Large isolated
## 2142          1   4      1012             3|12         low Small-Large isolated
## 2143          1   4      1012             3|12         low Small-Large isolated
## 2144          1   4      1012             3|12         low Small-Large isolated
## 2145          1   4      1012             3|12         low Small-Large isolated
## 2146          1   4      1012             3|12         low Small-Large isolated
## 2147          1   4      1012             3|12         low Small-Large isolated
## 2148          1   4      1012             3|12         low Small-Large isolated
## 2149          1   4      1012             3|12         low Small-Large isolated
## 2150          1   4      1012             3|12         low Small-Large isolated
## 2151          1   4      1012             3|12         low Small-Large isolated
## 2152          1   4      1012             3|12         low Small-Large isolated
## 2153          1   4      1012             3|12         low Small-Large isolated
## 2154          1   4      1012             3|12         low Small-Large isolated
## 2155          1   4      1012             3|12         low Small-Large isolated
## 2156          1   4      1012             3|12         low Small-Large isolated
## 2157          1   4      1012             3|12         low Small-Large isolated
## 2158          1   4      1012             3|12         low Small-Large isolated
## 2159          1   4      1012             3|12         low Small-Large isolated
## 2160          1   4      1012             3|12         low Small-Large isolated
## 2161          2   8      1012             3|12         low Small-Large isolated
## 2162          2   8      1012             3|12         low Small-Large isolated
## 2163          2   8      1012             3|12         low Small-Large isolated
## 2164          2   8      1012             3|12         low Small-Large isolated
## 2165          2   8      1012             3|12         low Small-Large isolated
## 2166          2   8      1012             3|12         low Small-Large isolated
## 2167          2   8      1012             3|12         low Small-Large isolated
## 2168          2   8      1012             3|12         low Small-Large isolated
## 2169          2   8      1012             3|12         low Small-Large isolated
## 2170          2   8      1012             3|12         low Small-Large isolated
## 2171          2   8      1012             3|12         low Small-Large isolated
## 2172          2   8      1012             3|12         low Small-Large isolated
## 2173          2   8      1012             3|12         low Small-Large isolated
## 2174          2   8      1012             3|12         low Small-Large isolated
## 2175          2   8      1012             3|12         low Small-Large isolated
## 2176          2   8      1012             3|12         low Small-Large isolated
## 2177          2   8      1012             3|12         low Small-Large isolated
## 2178          2   8      1012             3|12         low Small-Large isolated
## 2179          2   8      1012             3|12         low Small-Large isolated
## 2180          2   8      1012             3|12         low Small-Large isolated
## 2181          2   8      1012             3|12         low Small-Large isolated
## 2182          2   8      1012             3|12         low Small-Large isolated
## 2183          2   8      1012             3|12         low Small-Large isolated
## 2184          2   8      1012             3|12         low Small-Large isolated
## 2185          3  12      1012             3|12         low Small-Large isolated
## 2186          3  12      1012             3|12         low Small-Large isolated
## 2187          3  12      1012             3|12         low Small-Large isolated
## 2188          3  12      1012             3|12         low Small-Large isolated
## 2189          3  12      1012             3|12         low Small-Large isolated
## 2190          3  12      1012             3|12         low Small-Large isolated
## 2191          3  12      1012             3|12         low Small-Large isolated
## 2192          3  12      1012             3|12         low Small-Large isolated
## 2193          3  12      1012             3|12         low Small-Large isolated
## 2194          3  12      1012             3|12         low Small-Large isolated
## 2195          3  12      1012             3|12         low Small-Large isolated
## 2196          3  12      1012             3|12         low Small-Large isolated
## 2197          3  12      1012             3|12         low Small-Large isolated
## 2198          3  12      1012             3|12         low Small-Large isolated
## 2199          3  12      1012             3|12         low Small-Large isolated
## 2200          3  12      1012             3|12         low Small-Large isolated
## 2201          3  12      1012             3|12         low Small-Large isolated
## 2202          3  12      1012             3|12         low Small-Large isolated
## 2203          3  12      1012             3|12         low Small-Large isolated
## 2204          3  12      1012             3|12         low Small-Large isolated
## 2205          3  12      1012             3|12         low Small-Large isolated
## 2206          3  12      1012             3|12         low Small-Large isolated
## 2207          3  12      1012             3|12         low Small-Large isolated
## 2208          3  12      1012             3|12         low Small-Large isolated
## 2209          4  16      1012             3|12         low Small-Large isolated
## 2210          4  16      1012             3|12         low Small-Large isolated
## 2211          4  16      1012             3|12         low Small-Large isolated
## 2212          4  16      1012             3|12         low Small-Large isolated
## 2213          4  16      1012             3|12         low Small-Large isolated
## 2214          4  16      1012             3|12         low Small-Large isolated
## 2215          4  16      1012             3|12         low Small-Large isolated
## 2216          4  16      1012             3|12         low Small-Large isolated
## 2217          4  16      1012             3|12         low Small-Large isolated
## 2218          4  16      1012             3|12         low Small-Large isolated
## 2219          4  16      1012             3|12         low Small-Large isolated
## 2220          4  16      1012             3|12         low Small-Large isolated
## 2221          4  16      1012             3|12         low Small-Large isolated
## 2222          4  16      1012             3|12         low Small-Large isolated
## 2223          4  16      1012             3|12         low Small-Large isolated
## 2224          4  16      1012             3|12         low Small-Large isolated
## 2225          4  16      1012             3|12         low Small-Large isolated
## 2226          4  16      1012             3|12         low Small-Large isolated
## 2227          4  16      1012             3|12         low Small-Large isolated
## 2228          4  16      1012             3|12         low Small-Large isolated
## 2229          4  16      1012             3|12         low Small-Large isolated
## 2230          4  16      1012             3|12         low Small-Large isolated
## 2231          4  16      1012             3|12         low Small-Large isolated
## 2232          4  16      1012             3|12         low Small-Large isolated
## 2233          5  20      1012             3|12         low Small-Large isolated
## 2234          5  20      1012             3|12         low Small-Large isolated
## 2235          5  20      1012             3|12         low Small-Large isolated
## 2236          5  20      1012             3|12         low Small-Large isolated
## 2237          5  20      1012             3|12         low Small-Large isolated
## 2238          5  20      1012             3|12         low Small-Large isolated
## 2239          5  20      1012             3|12         low Small-Large isolated
## 2240          5  20      1012             3|12         low Small-Large isolated
## 2241          5  20      1012             3|12         low Small-Large isolated
## 2242          5  20      1012             3|12         low Small-Large isolated
## 2243          5  20      1012             3|12         low Small-Large isolated
## 2244          5  20      1012             3|12         low Small-Large isolated
## 2245          5  20      1012             3|12         low Small-Large isolated
## 2246          5  20      1012             3|12         low Small-Large isolated
## 2247          5  20      1012             3|12         low Small-Large isolated
## 2248          5  20      1012             3|12         low Small-Large isolated
## 2249          5  20      1012             3|12         low Small-Large isolated
## 2250          5  20      1012             3|12         low Small-Large isolated
## 2251          5  20      1012             3|12         low Small-Large isolated
## 2252          5  20      1012             3|12         low Small-Large isolated
## 2253          5  20      1012             3|12         low Small-Large isolated
## 2254          5  20      1012             3|12         low Small-Large isolated
## 2255          5  20      1012             3|12         low Small-Large isolated
## 2256          5  20      1012             3|12         low Small-Large isolated
## 2257          6  24      1012             3|12         low Small-Large isolated
## 2258          6  24      1012             3|12         low Small-Large isolated
## 2259          6  24      1012             3|12         low Small-Large isolated
## 2260          6  24      1012             3|12         low Small-Large isolated
## 2261          6  24      1012             3|12         low Small-Large isolated
## 2262          6  24      1012             3|12         low Small-Large isolated
## 2263          6  24      1012             3|12         low Small-Large isolated
## 2264          6  24      1012             3|12         low Small-Large isolated
## 2265          6  24      1012             3|12         low Small-Large isolated
## 2266          6  24      1012             3|12         low Small-Large isolated
## 2267          6  24      1012             3|12         low Small-Large isolated
## 2268          6  24      1012             3|12         low Small-Large isolated
## 2269          6  24      1012             3|12         low Small-Large isolated
## 2270          6  24      1012             3|12         low Small-Large isolated
## 2271          6  24      1012             3|12         low Small-Large isolated
## 2272          6  24      1012             3|12         low Small-Large isolated
## 2273          6  24      1012             3|12         low Small-Large isolated
## 2274          6  24      1012             3|12         low Small-Large isolated
## 2275          6  24      1012             3|12         low Small-Large isolated
## 2276          6  24      1012             3|12         low Small-Large isolated
## 2277          6  24      1012             3|12         low Small-Large isolated
## 2278          6  24      1012             3|12         low Small-Large isolated
## 2279          6  24      1012             3|12         low Small-Large isolated
## 2280          6  24      1012             3|12         low Small-Large isolated
## 2281          7  28      1012             3|12         low Small-Large isolated
## 2282          7  28      1012             3|12         low Small-Large isolated
## 2283          7  28      1012             3|12         low Small-Large isolated
## 2284          7  28      1012             3|12         low Small-Large isolated
## 2285          7  28      1012             3|12         low Small-Large isolated
## 2286          7  28      1012             3|12         low Small-Large isolated
## 2287          7  28      1012             3|12         low Small-Large isolated
## 2288          7  28      1012             3|12         low Small-Large isolated
## 2289          7  28      1012             3|12         low Small-Large isolated
## 2290          7  28      1012             3|12         low Small-Large isolated
## 2291          7  28      1012             3|12         low Small-Large isolated
## 2292          7  28      1012             3|12         low Small-Large isolated
## 2293          7  28      1012             3|12         low Small-Large isolated
## 2294          7  28      1012             3|12         low Small-Large isolated
## 2295          7  28      1012             3|12         low Small-Large isolated
## 2296          7  28      1012             3|12         low Small-Large isolated
## 2297          7  28      1012             3|12         low Small-Large isolated
## 2298          7  28      1012             3|12         low Small-Large isolated
## 2299          7  28      1012             3|12         low Small-Large isolated
## 2300          7  28      1012             3|12         low Small-Large isolated
## 2301          7  28      1012             3|12         low Small-Large isolated
## 2302          7  28      1012             3|12         low Small-Large isolated
## 2303          7  28      1012             3|12         low Small-Large isolated
## 2304          7  28      1012             3|12         low Small-Large isolated
## 2305          0   0      1013             3|13         low Small-Large isolated
## 2306          0   0      1013             3|13         low Small-Large isolated
## 2307          0   0      1013             3|13         low Small-Large isolated
## 2308          0   0      1013             3|13         low Small-Large isolated
## 2309          0   0      1013             3|13         low Small-Large isolated
## 2310          0   0      1013             3|13         low Small-Large isolated
## 2311          0   0      1013             3|13         low Small-Large isolated
## 2312          0   0      1013             3|13         low Small-Large isolated
## 2313          0   0      1013             3|13         low Small-Large isolated
## 2314          0   0      1013             3|13         low Small-Large isolated
## 2315          0   0      1013             3|13         low Small-Large isolated
## 2316          0   0      1013             3|13         low Small-Large isolated
## 2317          0   0      1013             3|13         low Small-Large isolated
## 2318          0   0      1013             3|13         low Small-Large isolated
## 2319          0   0      1013             3|13         low Small-Large isolated
## 2320          0   0      1013             3|13         low Small-Large isolated
## 2321          0   0      1013             3|13         low Small-Large isolated
## 2322          0   0      1013             3|13         low Small-Large isolated
## 2323          0   0      1013             3|13         low Small-Large isolated
## 2324          0   0      1013             3|13         low Small-Large isolated
## 2325          0   0      1013             3|13         low Small-Large isolated
## 2326          0   0      1013             3|13         low Small-Large isolated
## 2327          0   0      1013             3|13         low Small-Large isolated
## 2328          0   0      1013             3|13         low Small-Large isolated
## 2329          1   4      1013             3|13         low Small-Large isolated
## 2330          1   4      1013             3|13         low Small-Large isolated
## 2331          1   4      1013             3|13         low Small-Large isolated
## 2332          1   4      1013             3|13         low Small-Large isolated
## 2333          1   4      1013             3|13         low Small-Large isolated
## 2334          1   4      1013             3|13         low Small-Large isolated
## 2335          1   4      1013             3|13         low Small-Large isolated
## 2336          1   4      1013             3|13         low Small-Large isolated
## 2337          1   4      1013             3|13         low Small-Large isolated
## 2338          1   4      1013             3|13         low Small-Large isolated
## 2339          1   4      1013             3|13         low Small-Large isolated
## 2340          1   4      1013             3|13         low Small-Large isolated
## 2341          1   4      1013             3|13         low Small-Large isolated
## 2342          1   4      1013             3|13         low Small-Large isolated
## 2343          1   4      1013             3|13         low Small-Large isolated
## 2344          1   4      1013             3|13         low Small-Large isolated
## 2345          1   4      1013             3|13         low Small-Large isolated
## 2346          1   4      1013             3|13         low Small-Large isolated
## 2347          1   4      1013             3|13         low Small-Large isolated
## 2348          1   4      1013             3|13         low Small-Large isolated
## 2349          1   4      1013             3|13         low Small-Large isolated
## 2350          1   4      1013             3|13         low Small-Large isolated
## 2351          1   4      1013             3|13         low Small-Large isolated
## 2352          1   4      1013             3|13         low Small-Large isolated
## 2353          2   8      1013             3|13         low Small-Large isolated
## 2354          2   8      1013             3|13         low Small-Large isolated
## 2355          2   8      1013             3|13         low Small-Large isolated
## 2356          2   8      1013             3|13         low Small-Large isolated
## 2357          2   8      1013             3|13         low Small-Large isolated
## 2358          2   8      1013             3|13         low Small-Large isolated
## 2359          2   8      1013             3|13         low Small-Large isolated
## 2360          2   8      1013             3|13         low Small-Large isolated
## 2361          2   8      1013             3|13         low Small-Large isolated
## 2362          2   8      1013             3|13         low Small-Large isolated
## 2363          2   8      1013             3|13         low Small-Large isolated
## 2364          2   8      1013             3|13         low Small-Large isolated
## 2365          2   8      1013             3|13         low Small-Large isolated
## 2366          2   8      1013             3|13         low Small-Large isolated
## 2367          2   8      1013             3|13         low Small-Large isolated
## 2368          2   8      1013             3|13         low Small-Large isolated
## 2369          2   8      1013             3|13         low Small-Large isolated
## 2370          2   8      1013             3|13         low Small-Large isolated
## 2371          2   8      1013             3|13         low Small-Large isolated
## 2372          2   8      1013             3|13         low Small-Large isolated
## 2373          2   8      1013             3|13         low Small-Large isolated
## 2374          2   8      1013             3|13         low Small-Large isolated
## 2375          2   8      1013             3|13         low Small-Large isolated
## 2376          2   8      1013             3|13         low Small-Large isolated
## 2377          3  12      1013             3|13         low Small-Large isolated
## 2378          3  12      1013             3|13         low Small-Large isolated
## 2379          3  12      1013             3|13         low Small-Large isolated
## 2380          3  12      1013             3|13         low Small-Large isolated
## 2381          3  12      1013             3|13         low Small-Large isolated
## 2382          3  12      1013             3|13         low Small-Large isolated
## 2383          3  12      1013             3|13         low Small-Large isolated
## 2384          3  12      1013             3|13         low Small-Large isolated
## 2385          3  12      1013             3|13         low Small-Large isolated
## 2386          3  12      1013             3|13         low Small-Large isolated
## 2387          3  12      1013             3|13         low Small-Large isolated
## 2388          3  12      1013             3|13         low Small-Large isolated
## 2389          3  12      1013             3|13         low Small-Large isolated
## 2390          3  12      1013             3|13         low Small-Large isolated
## 2391          3  12      1013             3|13         low Small-Large isolated
## 2392          3  12      1013             3|13         low Small-Large isolated
## 2393          3  12      1013             3|13         low Small-Large isolated
## 2394          3  12      1013             3|13         low Small-Large isolated
## 2395          3  12      1013             3|13         low Small-Large isolated
## 2396          3  12      1013             3|13         low Small-Large isolated
## 2397          3  12      1013             3|13         low Small-Large isolated
## 2398          3  12      1013             3|13         low Small-Large isolated
## 2399          3  12      1013             3|13         low Small-Large isolated
## 2400          3  12      1013             3|13         low Small-Large isolated
## 2401          4  16      1013             3|13         low Small-Large isolated
## 2402          4  16      1013             3|13         low Small-Large isolated
## 2403          4  16      1013             3|13         low Small-Large isolated
## 2404          4  16      1013             3|13         low Small-Large isolated
## 2405          4  16      1013             3|13         low Small-Large isolated
## 2406          4  16      1013             3|13         low Small-Large isolated
## 2407          4  16      1013             3|13         low Small-Large isolated
## 2408          4  16      1013             3|13         low Small-Large isolated
## 2409          4  16      1013             3|13         low Small-Large isolated
## 2410          4  16      1013             3|13         low Small-Large isolated
## 2411          4  16      1013             3|13         low Small-Large isolated
## 2412          4  16      1013             3|13         low Small-Large isolated
## 2413          4  16      1013             3|13         low Small-Large isolated
## 2414          4  16      1013             3|13         low Small-Large isolated
## 2415          4  16      1013             3|13         low Small-Large isolated
## 2416          4  16      1013             3|13         low Small-Large isolated
## 2417          4  16      1013             3|13         low Small-Large isolated
## 2418          4  16      1013             3|13         low Small-Large isolated
## 2419          4  16      1013             3|13         low Small-Large isolated
## 2420          4  16      1013             3|13         low Small-Large isolated
## 2421          4  16      1013             3|13         low Small-Large isolated
## 2422          4  16      1013             3|13         low Small-Large isolated
## 2423          4  16      1013             3|13         low Small-Large isolated
## 2424          4  16      1013             3|13         low Small-Large isolated
## 2425          5  20      1013             3|13         low Small-Large isolated
## 2426          5  20      1013             3|13         low Small-Large isolated
## 2427          5  20      1013             3|13         low Small-Large isolated
## 2428          5  20      1013             3|13         low Small-Large isolated
## 2429          5  20      1013             3|13         low Small-Large isolated
## 2430          5  20      1013             3|13         low Small-Large isolated
## 2431          5  20      1013             3|13         low Small-Large isolated
## 2432          5  20      1013             3|13         low Small-Large isolated
## 2433          5  20      1013             3|13         low Small-Large isolated
## 2434          5  20      1013             3|13         low Small-Large isolated
## 2435          5  20      1013             3|13         low Small-Large isolated
## 2436          5  20      1013             3|13         low Small-Large isolated
## 2437          5  20      1013             3|13         low Small-Large isolated
## 2438          5  20      1013             3|13         low Small-Large isolated
## 2439          5  20      1013             3|13         low Small-Large isolated
## 2440          5  20      1013             3|13         low Small-Large isolated
## 2441          5  20      1013             3|13         low Small-Large isolated
## 2442          5  20      1013             3|13         low Small-Large isolated
## 2443          5  20      1013             3|13         low Small-Large isolated
## 2444          5  20      1013             3|13         low Small-Large isolated
## 2445          5  20      1013             3|13         low Small-Large isolated
## 2446          5  20      1013             3|13         low Small-Large isolated
## 2447          5  20      1013             3|13         low Small-Large isolated
## 2448          5  20      1013             3|13         low Small-Large isolated
## 2449          6  24      1013             3|13         low Small-Large isolated
## 2450          6  24      1013             3|13         low Small-Large isolated
## 2451          6  24      1013             3|13         low Small-Large isolated
## 2452          6  24      1013             3|13         low Small-Large isolated
## 2453          6  24      1013             3|13         low Small-Large isolated
## 2454          6  24      1013             3|13         low Small-Large isolated
## 2455          6  24      1013             3|13         low Small-Large isolated
## 2456          6  24      1013             3|13         low Small-Large isolated
## 2457          6  24      1013             3|13         low Small-Large isolated
## 2458          6  24      1013             3|13         low Small-Large isolated
## 2459          6  24      1013             3|13         low Small-Large isolated
## 2460          6  24      1013             3|13         low Small-Large isolated
## 2461          6  24      1013             3|13         low Small-Large isolated
## 2462          6  24      1013             3|13         low Small-Large isolated
## 2463          6  24      1013             3|13         low Small-Large isolated
## 2464          6  24      1013             3|13         low Small-Large isolated
## 2465          6  24      1013             3|13         low Small-Large isolated
## 2466          6  24      1013             3|13         low Small-Large isolated
## 2467          6  24      1013             3|13         low Small-Large isolated
## 2468          6  24      1013             3|13         low Small-Large isolated
## 2469          6  24      1013             3|13         low Small-Large isolated
## 2470          6  24      1013             3|13         low Small-Large isolated
## 2471          6  24      1013             3|13         low Small-Large isolated
## 2472          6  24      1013             3|13         low Small-Large isolated
## 2473          7  28      1013             3|13         low Small-Large isolated
## 2474          7  28      1013             3|13         low Small-Large isolated
## 2475          7  28      1013             3|13         low Small-Large isolated
## 2476          7  28      1013             3|13         low Small-Large isolated
## 2477          7  28      1013             3|13         low Small-Large isolated
## 2478          7  28      1013             3|13         low Small-Large isolated
## 2479          7  28      1013             3|13         low Small-Large isolated
## 2480          7  28      1013             3|13         low Small-Large isolated
## 2481          7  28      1013             3|13         low Small-Large isolated
## 2482          7  28      1013             3|13         low Small-Large isolated
## 2483          7  28      1013             3|13         low Small-Large isolated
## 2484          7  28      1013             3|13         low Small-Large isolated
## 2485          7  28      1013             3|13         low Small-Large isolated
## 2486          7  28      1013             3|13         low Small-Large isolated
## 2487          7  28      1013             3|13         low Small-Large isolated
## 2488          7  28      1013             3|13         low Small-Large isolated
## 2489          7  28      1013             3|13         low Small-Large isolated
## 2490          7  28      1013             3|13         low Small-Large isolated
## 2491          7  28      1013             3|13         low Small-Large isolated
## 2492          7  28      1013             3|13         low Small-Large isolated
## 2493          7  28      1013             3|13         low Small-Large isolated
## 2494          7  28      1013             3|13         low Small-Large isolated
## 2495          7  28      1013             3|13         low Small-Large isolated
## 2496          7  28      1013             3|13         low Small-Large isolated
## 2497          0   0      1014             3|14         low Small-Large isolated
## 2498          0   0      1014             3|14         low Small-Large isolated
## 2499          0   0      1014             3|14         low Small-Large isolated
## 2500          0   0      1014             3|14         low Small-Large isolated
## 2501          0   0      1014             3|14         low Small-Large isolated
## 2502          0   0      1014             3|14         low Small-Large isolated
## 2503          0   0      1014             3|14         low Small-Large isolated
## 2504          0   0      1014             3|14         low Small-Large isolated
## 2505          0   0      1014             3|14         low Small-Large isolated
## 2506          0   0      1014             3|14         low Small-Large isolated
## 2507          0   0      1014             3|14         low Small-Large isolated
## 2508          0   0      1014             3|14         low Small-Large isolated
## 2509          0   0      1014             3|14         low Small-Large isolated
## 2510          0   0      1014             3|14         low Small-Large isolated
## 2511          0   0      1014             3|14         low Small-Large isolated
## 2512          0   0      1014             3|14         low Small-Large isolated
## 2513          0   0      1014             3|14         low Small-Large isolated
## 2514          0   0      1014             3|14         low Small-Large isolated
## 2515          0   0      1014             3|14         low Small-Large isolated
## 2516          0   0      1014             3|14         low Small-Large isolated
## 2517          0   0      1014             3|14         low Small-Large isolated
## 2518          0   0      1014             3|14         low Small-Large isolated
## 2519          0   0      1014             3|14         low Small-Large isolated
## 2520          0   0      1014             3|14         low Small-Large isolated
## 2521          1   4      1014             3|14         low Small-Large isolated
## 2522          1   4      1014             3|14         low Small-Large isolated
## 2523          1   4      1014             3|14         low Small-Large isolated
## 2524          1   4      1014             3|14         low Small-Large isolated
## 2525          1   4      1014             3|14         low Small-Large isolated
## 2526          1   4      1014             3|14         low Small-Large isolated
## 2527          1   4      1014             3|14         low Small-Large isolated
## 2528          1   4      1014             3|14         low Small-Large isolated
## 2529          1   4      1014             3|14         low Small-Large isolated
## 2530          1   4      1014             3|14         low Small-Large isolated
## 2531          1   4      1014             3|14         low Small-Large isolated
## 2532          1   4      1014             3|14         low Small-Large isolated
## 2533          1   4      1014             3|14         low Small-Large isolated
## 2534          1   4      1014             3|14         low Small-Large isolated
## 2535          1   4      1014             3|14         low Small-Large isolated
## 2536          1   4      1014             3|14         low Small-Large isolated
## 2537          1   4      1014             3|14         low Small-Large isolated
## 2538          1   4      1014             3|14         low Small-Large isolated
## 2539          1   4      1014             3|14         low Small-Large isolated
## 2540          1   4      1014             3|14         low Small-Large isolated
## 2541          1   4      1014             3|14         low Small-Large isolated
## 2542          1   4      1014             3|14         low Small-Large isolated
## 2543          1   4      1014             3|14         low Small-Large isolated
## 2544          1   4      1014             3|14         low Small-Large isolated
## 2545          2   8      1014             3|14         low Small-Large isolated
## 2546          2   8      1014             3|14         low Small-Large isolated
## 2547          2   8      1014             3|14         low Small-Large isolated
## 2548          2   8      1014             3|14         low Small-Large isolated
## 2549          2   8      1014             3|14         low Small-Large isolated
## 2550          2   8      1014             3|14         low Small-Large isolated
## 2551          2   8      1014             3|14         low Small-Large isolated
## 2552          2   8      1014             3|14         low Small-Large isolated
## 2553          2   8      1014             3|14         low Small-Large isolated
## 2554          2   8      1014             3|14         low Small-Large isolated
## 2555          2   8      1014             3|14         low Small-Large isolated
## 2556          2   8      1014             3|14         low Small-Large isolated
## 2557          2   8      1014             3|14         low Small-Large isolated
## 2558          2   8      1014             3|14         low Small-Large isolated
## 2559          2   8      1014             3|14         low Small-Large isolated
## 2560          2   8      1014             3|14         low Small-Large isolated
## 2561          2   8      1014             3|14         low Small-Large isolated
## 2562          2   8      1014             3|14         low Small-Large isolated
## 2563          2   8      1014             3|14         low Small-Large isolated
## 2564          2   8      1014             3|14         low Small-Large isolated
## 2565          2   8      1014             3|14         low Small-Large isolated
## 2566          2   8      1014             3|14         low Small-Large isolated
## 2567          2   8      1014             3|14         low Small-Large isolated
## 2568          2   8      1014             3|14         low Small-Large isolated
## 2569          3  12      1014             3|14         low Small-Large isolated
## 2570          3  12      1014             3|14         low Small-Large isolated
## 2571          3  12      1014             3|14         low Small-Large isolated
## 2572          3  12      1014             3|14         low Small-Large isolated
## 2573          3  12      1014             3|14         low Small-Large isolated
## 2574          3  12      1014             3|14         low Small-Large isolated
## 2575          3  12      1014             3|14         low Small-Large isolated
## 2576          3  12      1014             3|14         low Small-Large isolated
## 2577          3  12      1014             3|14         low Small-Large isolated
## 2578          3  12      1014             3|14         low Small-Large isolated
## 2579          3  12      1014             3|14         low Small-Large isolated
## 2580          3  12      1014             3|14         low Small-Large isolated
## 2581          3  12      1014             3|14         low Small-Large isolated
## 2582          3  12      1014             3|14         low Small-Large isolated
## 2583          3  12      1014             3|14         low Small-Large isolated
## 2584          3  12      1014             3|14         low Small-Large isolated
## 2585          3  12      1014             3|14         low Small-Large isolated
## 2586          3  12      1014             3|14         low Small-Large isolated
## 2587          3  12      1014             3|14         low Small-Large isolated
## 2588          3  12      1014             3|14         low Small-Large isolated
## 2589          3  12      1014             3|14         low Small-Large isolated
## 2590          3  12      1014             3|14         low Small-Large isolated
## 2591          3  12      1014             3|14         low Small-Large isolated
## 2592          3  12      1014             3|14         low Small-Large isolated
## 2593          4  16      1014             3|14         low Small-Large isolated
## 2594          4  16      1014             3|14         low Small-Large isolated
## 2595          4  16      1014             3|14         low Small-Large isolated
## 2596          4  16      1014             3|14         low Small-Large isolated
## 2597          4  16      1014             3|14         low Small-Large isolated
## 2598          4  16      1014             3|14         low Small-Large isolated
## 2599          4  16      1014             3|14         low Small-Large isolated
## 2600          4  16      1014             3|14         low Small-Large isolated
## 2601          4  16      1014             3|14         low Small-Large isolated
## 2602          4  16      1014             3|14         low Small-Large isolated
## 2603          4  16      1014             3|14         low Small-Large isolated
## 2604          4  16      1014             3|14         low Small-Large isolated
## 2605          4  16      1014             3|14         low Small-Large isolated
## 2606          4  16      1014             3|14         low Small-Large isolated
## 2607          4  16      1014             3|14         low Small-Large isolated
## 2608          4  16      1014             3|14         low Small-Large isolated
## 2609          4  16      1014             3|14         low Small-Large isolated
## 2610          4  16      1014             3|14         low Small-Large isolated
## 2611          4  16      1014             3|14         low Small-Large isolated
## 2612          4  16      1014             3|14         low Small-Large isolated
## 2613          4  16      1014             3|14         low Small-Large isolated
## 2614          4  16      1014             3|14         low Small-Large isolated
## 2615          4  16      1014             3|14         low Small-Large isolated
## 2616          4  16      1014             3|14         low Small-Large isolated
## 2617          5  20      1014             3|14         low Small-Large isolated
## 2618          5  20      1014             3|14         low Small-Large isolated
## 2619          5  20      1014             3|14         low Small-Large isolated
## 2620          5  20      1014             3|14         low Small-Large isolated
## 2621          5  20      1014             3|14         low Small-Large isolated
## 2622          5  20      1014             3|14         low Small-Large isolated
## 2623          5  20      1014             3|14         low Small-Large isolated
## 2624          5  20      1014             3|14         low Small-Large isolated
## 2625          5  20      1014             3|14         low Small-Large isolated
## 2626          5  20      1014             3|14         low Small-Large isolated
## 2627          5  20      1014             3|14         low Small-Large isolated
## 2628          5  20      1014             3|14         low Small-Large isolated
## 2629          5  20      1014             3|14         low Small-Large isolated
## 2630          5  20      1014             3|14         low Small-Large isolated
## 2631          5  20      1014             3|14         low Small-Large isolated
##      mean_shannon mean_richness jaccard_index bray_curtis beta_spatial_turnover
## 1       2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2       2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 3       2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 4       2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 5       2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 6       2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 7       2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 8       2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 9       2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 10      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 11      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 12      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 13      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 14      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 15      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 16      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 17      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 18      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 19      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 20      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 21      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 22      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 23      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 24      2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 25      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 26      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 27      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 28      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 29      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 30      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 31      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 32      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 33      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 34      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 35      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 36      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 37      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 38      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 39      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 40      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 41      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 42      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 43      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 44      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 45      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 46      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 47      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 48      1.5003642           7.5     0.3797327   0.2343643             0.1428571
## 49      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 50      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 51      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 52      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 53      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 54      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 55      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 56      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 57      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 58      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 59      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 60      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 61      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 62      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 63      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 64      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 65      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 66      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 67      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 68      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 69      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 70      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 71      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 72      1.5643953           8.0     0.5027346   0.3357686             0.1250000
## 73      1.6095690           6.0     0.8561835   0.7485323             0.0000000
## 74      1.6095690           6.0     0.8561835   0.7485323             0.0000000
## 75      1.6095690           6.0     0.8561835   0.7485323             0.0000000
## 76      1.6095690           6.0     0.8561835   0.7485323             0.0000000
## 77      1.6095690           6.0     0.8561835   0.7485323             0.0000000
## 78      1.6095690           6.0     0.8561835   0.7485323             0.0000000
## 79      1.6095690           6.0     0.8561835   0.7485323             0.0000000
## 80      1.6095690           6.0     0.8561835   0.7485323             0.0000000
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## 612     1.5325570           7.0     0.6161471   0.4452403             0.2857143
## 613     1.5325570           7.0     0.6161471   0.4452403             0.2857143
## 614     1.5325570           7.0     0.6161471   0.4452403             0.2857143
## 615     1.5325570           7.0     0.6161471   0.4452403             0.2857143
## 616     1.5325570           7.0     0.6161471   0.4452403             0.2857143
## 617     1.5325570           7.0     0.6161471   0.4452403             0.2857143
## 618     1.5325570           7.0     0.6161471   0.4452403             0.2857143
## 619     1.5325570           7.0     0.6161471   0.4452403             0.2857143
## 620     1.5325570           7.0     0.6161471   0.4452403             0.2857143
## 621     1.5325570           7.0     0.6161471   0.4452403             0.2857143
## 622     1.5325570           7.0     0.6161471   0.4452403             0.2857143
## 623     1.5325570           7.0     0.6161471   0.4452403             0.2857143
## 624     1.5325570           7.0     0.6161471   0.4452403             0.2857143
## 625     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 626     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 627     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 628     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 629     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 630     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 631     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 632     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 633     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 634     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 635     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 636     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 637     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 638     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 639     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 640     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 641     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 642     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 643     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 644     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 645     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 646     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 647     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 648     1.5378489           8.0     0.5443405   0.3739477             0.1250000
## 649     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 650     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 651     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 652     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 653     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 654     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 655     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 656     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 657     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 658     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 659     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 660     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 661     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 662     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 663     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 664     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 665     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 666     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 667     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 668     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 669     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 670     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 671     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 672     1.2717353           5.0     0.8062622   0.6754098             0.0000000
## 673     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 674     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 675     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 676     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 677     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 678     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 679     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 680     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 681     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 682     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 683     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 684     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 685     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 686     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 687     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 688     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 689     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 690     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 691     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 692     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 693     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 694     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 695     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 696     1.5711195           6.5     0.5964585   0.4249668             0.5000000
## 697     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 698     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 699     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 700     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 701     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 702     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 703     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 704     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 705     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 706     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 707     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 708     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 709     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 710     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 711     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 712     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 713     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 714     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 715     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 716     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 717     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 718     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 719     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 720     0.9613777           3.5     0.7674121   0.6226024             0.5000000
## 721     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 722     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 723     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 724     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 725     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 726     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 727     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 728     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 729     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 730     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 731     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 732     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 733     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 734     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 735     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 736     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 737     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 738     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 739     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 740     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 741     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 742     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 743     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 744     1.3870793           5.5     0.6086957   0.4375000             0.6000000
## 745     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 746     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 747     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 748     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 749     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 750     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 751     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 752     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 753     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 754     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 755     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 756     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 757     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 758     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 759     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 760     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 761     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 762     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 763     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 764     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 765     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 766     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 767     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 768     0.9302665           3.5     0.6133333   0.4423077             0.0000000
## 769     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 770     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 771     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 772     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 773     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 774     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 775     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 776     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 777     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 778     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 779     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 780     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 781     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 782     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 783     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 784     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 785     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 786     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 787     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 788     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 789     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 790     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 791     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 792     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 793     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 794     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 795     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 796     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 797     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 798     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 799     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 800     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 801     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 802     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 803     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 804     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 805     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 806     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 807     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 808     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 809     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 810     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 811     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 812     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 813     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 814     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 815     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 816     1.7576182           8.0     0.6485050   0.4798427             0.0000000
## 817     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 818     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 819     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 820     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 821     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 822     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 823     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 824     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 825     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 826     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 827     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 828     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 829     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 830     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 831     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 832     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 833     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 834     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 835     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 836     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 837     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 838     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 839     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 840     1.6208829           7.5     0.5405548   0.3703838             0.1428571
## 841     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 842     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 843     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 844     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 845     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 846     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 847     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 848     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 849     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 850     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 851     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 852     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 853     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 854     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 855     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 856     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 857     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 858     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 859     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 860     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 861     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 862     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 863     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 864     1.5861251           6.0     0.8562784   0.7486772             0.0000000
## 865     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 866     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 867     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 868     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 869     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 870     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 871     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 872     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 873     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 874     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 875     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 876     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 877     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 878     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 879     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 880     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 881     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 882     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 883     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 884     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 885     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 886     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 887     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 888     1.6705149           7.5     0.5076640   0.3401808             0.1428571
## 889     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 890     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 891     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 892     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 893     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 894     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 895     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 896     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 897     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 898     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 899     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 900     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 901     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 902     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 903     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 904     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 905     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 906     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 907     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 908     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 909     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 910     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 911     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 912     1.1807457           5.0     0.8075314   0.6771930             0.0000000
## 913     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 914     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 915     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 916     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 917     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 918     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 919     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 920     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 921     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 922     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 923     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 924     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 925     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 926     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 927     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 928     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 929     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 930     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 931     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 932     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 933     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 934     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 935     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 936     1.5071598           6.5     0.8093303   0.6797269             0.2000000
## 937     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 938     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 939     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 940     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 941     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 942     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 943     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 944     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 945     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 946     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 947     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 948     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 949     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 950     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 951     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 952     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 953     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 954     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 955     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 956     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 957     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 958     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 959     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 960     0.9391687           5.0     0.9203269   0.8524125             0.0000000
## 961     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 962     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 963     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 964     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 965     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 966     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 967     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 968     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 969     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 970     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 971     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 972     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 973     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 974     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 975     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 976     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 977     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 978     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 979     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 980     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 981     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 982     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 983     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 984     2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 985     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 986     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 987     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 988     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 989     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 990     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 991     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 992     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 993     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 994     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 995     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 996     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 997     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 998     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 999     1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 1000    1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 1001    1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 1002    1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 1003    1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 1004    1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 1005    1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 1006    1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 1007    1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 1008    1.5540186           8.0     0.4775502   0.3136722             0.2500000
## 1009    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1010    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1011    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1012    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1013    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1014    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1015    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1016    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1017    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1018    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1019    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1020    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1021    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1022    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1023    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1024    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1025    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1026    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1027    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1028    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1029    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1030    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1031    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1032    1.5213817           8.5     0.6802785   0.5154712             0.1250000
## 1033    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1034    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1035    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1036    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1037    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1038    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1039    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1040    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1041    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1042    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1043    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1044    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1045    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1046    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1047    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1048    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1049    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1050    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1051    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1052    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1053    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1054    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1055    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1056    1.7632593           7.0     0.4519279   0.2919295             0.0000000
## 1057    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1058    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1059    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1060    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1061    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1062    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1063    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1064    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1065    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1066    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1067    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1068    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1069    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1070    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1071    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1072    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1073    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1074    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1075    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1076    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1077    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1078    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1079    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1080    1.3837136           5.5     0.6129142   0.4418719             0.0000000
## 1081    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1082    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1083    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1084    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1085    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1086    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1087    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1088    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1089    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1090    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1091    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1092    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1093    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1094    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1095    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1096    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1097    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1098    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1099    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1100    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1101    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1102    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1103    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1104    1.1906786           4.5     0.9314463   0.8716887             0.3333333
## 1105    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1106    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1107    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1108    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1109    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1110    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1111    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1112    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1113    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1114    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1115    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1116    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1117    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1118    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1119    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1120    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1121    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1122    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1123    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1124    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1125    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1126    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1127    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1128    0.5580146           4.0     0.8940736   0.8084387             0.0000000
## 1129    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1130    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1131    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1132    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1133    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1134    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1135    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1136    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1137    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1138    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1139    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1140    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1141    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1142    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1143    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1144    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1145    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1146    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1147    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1148    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1149    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1150    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1151    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1152    0.6573424           5.0     0.9461440   0.8977925             0.0000000
## 1153    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1154    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1155    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1156    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1157    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1158    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1159    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1160    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1161    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1162    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1163    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1164    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1165    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1166    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1167    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1168    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1169    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1170    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1171    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1172    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1173    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1174    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1175    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1176    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1177    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1178    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1179    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1180    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1181    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1182    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1183    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1184    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1185    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1186    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1187    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1188    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1189    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1190    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1191    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1192    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1193    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1194    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1195    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1196    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1197    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1198    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1199    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1200    1.7881218           8.5     0.4851643   0.3202752             0.1250000
## 1201    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1202    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1203    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1204    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1205    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1206    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1207    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1208    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1209    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1210    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1211    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1212    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1213    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1214    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1215    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1216    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1217    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1218    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1219    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1220    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1221    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1222    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1223    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1224    1.4483385           7.0     0.6127187   0.4416686             0.0000000
## 1225    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1226    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1227    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1228    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1229    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1230    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1231    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1232    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1233    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1234    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1235    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1236    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1237    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1238    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1239    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1240    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1241    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1242    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1243    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1244    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1245    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1246    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1247    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1248    1.6825243           7.0     0.5191233   0.3505514             0.1666667
## 1249    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1250    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1251    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1252    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1253    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1254    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1255    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1256    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1257    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1258    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1259    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1260    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1261    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1262    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1263    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1264    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1265    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1266    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1267    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1268    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1269    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1270    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1271    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1272    1.1569293           4.0     0.7495992   0.5994872             0.3333333
## 1273    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1274    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1275    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1276    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1277    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1278    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1279    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1280    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1281    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1282    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1283    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1284    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1285    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1286    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1287    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1288    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1289    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1290    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1291    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1292    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1293    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1294    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1295    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1296    1.4007946           5.5     0.8509009   0.7404939             0.0000000
## 1297    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1298    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1299    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1300    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1301    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1302    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1303    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1304    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1305    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1306    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1307    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1308    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1309    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1310    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1311    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1312    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1313    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1314    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1315    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1316    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1317    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1318    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1319    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1320    0.6574145           4.0     0.8908058   0.8031107             0.0000000
## 1321    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1322    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1323    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1324    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1325    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1326    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1327    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1328    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1329    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1330    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1331    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1332    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1333    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1334    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1335    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1336    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1337    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1338    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1339    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1340    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1341    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1342    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1343    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1344    0.7227886           4.0     0.9301829   0.8694784             0.0000000
## 1345    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1346    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1347    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1348    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1349    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1350    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1351    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1352    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1353    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1354    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1355    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1356    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1357    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1358    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1359    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1360    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1361    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1362    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1363    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1364    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1365    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1366    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1367    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1368    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1369    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1370    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1371    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1372    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1373    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1374    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1375    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1376    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1377    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1378    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1379    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1380    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1381    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1382    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1383    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1384    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1385    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1386    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1387    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1388    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1389    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1390    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1391    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1392    1.6890637           8.5     0.5151939   0.3469772             0.1250000
## 1393    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1394    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1395    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1396    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1397    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1398    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1399    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1400    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1401    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1402    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1403    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1404    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1405    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1406    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1407    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1408    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1409    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1410    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1411    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1412    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1413    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1414    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1415    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1416    1.6613680           9.0     0.6067317   0.4354738             0.1111111
## 1417    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1418    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1419    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1420    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1421    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1422    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1423    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1424    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1425    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1426    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1427    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1428    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1429    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1430    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1431    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1432    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1433    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1434    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1435    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1436    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1437    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1438    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1439    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1440    1.7836333           7.5     0.5057999   0.3385088             0.0000000
## 1441    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1442    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1443    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1444    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1445    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1446    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1447    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1448    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1449    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1450    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1451    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1452    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1453    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1454    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1455    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1456    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1457    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1458    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1459    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1460    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1461    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1462    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1463    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1464    1.2942730           5.0     0.7453294   0.5940439             0.3333333
## 1465    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1466    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1467    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1468    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1469    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1470    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1471    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1472    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1473    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1474    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1475    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1476    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1477    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1478    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1479    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1480    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1481    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1482    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1483    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1484    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1485    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1486    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1487    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1488    1.2686511           4.5     0.9064490   0.8289043             0.3333333
## 1489    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1490    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1491    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1492    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1493    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1494    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1495    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1496    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1497    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1498    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1499    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1500    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1501    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1502    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1503    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1504    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1505    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1506    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1507    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1508    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1509    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1510    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1511    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1512    0.5707230           4.5     0.8832972   0.7909868             0.0000000
## 1513    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1514    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1515    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1516    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1517    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1518    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1519    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1520    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1521    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1522    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1523    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1524    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1525    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1526    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1527    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1528    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1529    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1530    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1531    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1532    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1533    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1534    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1535    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1536    0.5951247           4.0     0.9576002   0.9186497             0.0000000
## 1537    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1538    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1539    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1540    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1541    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1542    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1543    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1544    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1545    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1546    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1547    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1548    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1549    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1550    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1551    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1552    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1553    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1554    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1555    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1556    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1557    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1558    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1559    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1560    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1561    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1562    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1563    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1564    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1565    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1566    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1567    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1568    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1569    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1570    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1571    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1572    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1573    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1574    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1575    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1576    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1577    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1578    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1579    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1580    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1581    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1582    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1583    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1584    1.5862113           7.5     0.3935303   0.2449659             0.1428571
## 1585    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1586    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1587    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1588    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1589    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1590    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1591    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1592    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1593    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1594    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1595    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1596    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1597    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1598    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1599    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1600    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1601    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1602    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1603    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1604    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1605    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1606    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1607    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1608    1.4948352           8.5     0.6102781   0.4391368             0.1250000
## 1609    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1610    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1611    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1612    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1613    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1614    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1615    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1616    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1617    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1618    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1619    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1620    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1621    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1622    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1623    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1624    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1625    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1626    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1627    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1628    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1629    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1630    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1631    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1632    1.4254256           6.0     0.5077328   0.3402426             0.1666667
## 1633    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1634    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1635    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1636    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1637    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1638    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1639    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1640    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1641    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1642    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1643    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1644    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1645    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1646    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1647    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1648    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1649    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1650    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1651    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1652    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1653    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1654    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1655    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1656    1.1525871           4.5     0.7699053   0.6258911             0.6666667
## 1657    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1658    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1659    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1660    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1661    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1662    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1663    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1664    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1665    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1666    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1667    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1668    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1669    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1670    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1671    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1672    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1673    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1674    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1675    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1676    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1677    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1678    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1679    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1680    1.2474031           4.0     0.9374289   0.8822270             0.6666667
## 1681    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1682    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1683    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1684    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1685    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1686    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1687    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1688    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1689    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1690    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1691    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1692    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1693    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1694    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1695    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1696    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1697    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1698    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1699    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1700    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1701    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1702    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1703    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1704    0.7728167           3.5     0.7388350   0.5858353             0.0000000
## 1705    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1706    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1707    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1708    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1709    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1710    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1711    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1712    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1713    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1714    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1715    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1716    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1717    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1718    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1719    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1720    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1721    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1722    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1723    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1724    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1725    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1726    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1727    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1728    0.6460517           3.0     0.7497872   0.5997277             0.0000000
## 1729    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1730    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1731    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1732    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1733    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1734    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1735    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1736    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1737    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1738    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1739    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1740    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1741    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1742    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1743    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1744    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1745    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1746    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1747    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1748    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1749    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1750    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1751    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1752    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1753    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1754    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1755    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1756    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1757    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1758    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1759    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1760    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1761    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1762    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1763    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1764    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1765    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1766    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1767    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1768    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1769    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1770    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1771    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1772    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1773    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1774    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1775    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1776    1.8112725           8.5     0.5241108   0.3551153             0.0000000
## 1777    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1778    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1779    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1780    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1781    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1782    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1783    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1784    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1785    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1786    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1787    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1788    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1789    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1790    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1791    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1792    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1793    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1794    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1795    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1796    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1797    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1798    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1799    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1800    1.5778693           8.0     0.7006088   0.5391824             0.1428571
## 1801    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1802    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1803    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1804    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1805    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1806    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1807    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1808    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1809    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1810    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1811    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1812    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1813    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1814    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1815    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1816    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1817    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1818    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1819    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1820    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1821    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1822    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1823    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1824    1.7398154           7.0     0.4756098   0.3120000             0.0000000
## 1825    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1826    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1827    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1828    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1829    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1830    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1831    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1832    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1833    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1834    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1835    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1836    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1837    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1838    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1839    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1840    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1841    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1842    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1843    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1844    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1845    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1846    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1847    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1848    1.2519825           5.5     0.7460988   0.5950220             0.3333333
## 1849    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1850    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1851    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1852    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1853    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1854    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1855    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1856    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1857    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1858    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1859    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1860    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1861    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1862    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1863    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1864    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1865    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1866    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1867    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1868    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1869    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1870    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1871    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1872    1.4667712           5.5     0.9079875   0.8314808             0.3333333
## 1873    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1874    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1875    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1876    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1877    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1878    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1879    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1880    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1881    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1882    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1883    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1884    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1885    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1886    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1887    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1888    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1889    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1890    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1891    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1892    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1893    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1894    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1895    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1896    0.8928972           4.5     0.9027828   0.8227931             0.0000000
## 1897    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1898    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1899    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1900    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1901    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1902    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1903    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1904    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1905    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1906    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1907    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1908    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1909    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1910    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1911    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1912    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1913    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1914    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1915    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1916    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1917    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1918    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1919    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1920    0.6549539           4.5     0.9497693   0.9043436             0.0000000
## 1921    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1922    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1923    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1924    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1925    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1926    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1927    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1928    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1929    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1930    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1931    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1932    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1933    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1934    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1935    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1936    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1937    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1938    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1939    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1940    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1941    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1942    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1943    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1944    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 1945    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1946    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1947    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1948    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1949    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1950    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1951    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1952    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1953    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1954    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1955    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1956    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1957    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1958    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1959    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1960    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1961    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1962    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1963    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1964    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1965    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1966    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1967    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1968    1.4587022           7.0     0.4647482   0.3027179             0.0000000
## 1969    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1970    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1971    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1972    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1973    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1974    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1975    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1976    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1977    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1978    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1979    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1980    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1981    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1982    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1983    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1984    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1985    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1986    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1987    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1988    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1989    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1990    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1991    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1992    1.4635307           7.0     0.5222681   0.3534255             0.0000000
## 1993    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 1994    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 1995    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 1996    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 1997    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 1998    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 1999    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2000    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2001    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2002    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2003    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2004    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2005    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2006    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2007    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2008    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2009    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2010    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2011    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2012    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2013    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2014    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2015    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2016    1.4969088           6.0     0.6928848   0.5300870             0.0000000
## 2017    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2018    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2019    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2020    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2021    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2022    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2023    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2024    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2025    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2026    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2027    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2028    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2029    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2030    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2031    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2032    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2033    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2034    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2035    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2036    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2037    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2038    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2039    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2040    1.4098276           6.0     0.6760997   0.5106878             0.2500000
## 2041    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2042    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2043    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2044    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2045    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2046    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2047    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2048    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2049    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2050    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2051    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2052    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2053    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2054    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2055    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2056    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2057    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2058    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2059    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2060    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2061    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2062    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2063    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2064    0.8677885           4.0     0.8623853   0.7580645             0.5000000
## 2065    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2066    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2067    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2068    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2069    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2070    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2071    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2072    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2073    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2074    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2075    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2076    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2077    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2078    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2079    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2080    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2081    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2082    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2083    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2084    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2085    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2086    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2087    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2088    1.0349319           5.0     0.8940736   0.8084387             0.0000000
## 2089    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2090    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2091    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2092    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2093    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2094    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2095    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2096    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2097    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2098    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2099    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2100    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2101    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2102    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2103    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2104    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2105    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2106    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2107    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2108    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2109    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2110    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2111    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2112    0.8886913           5.5     0.8939828   0.8082902             0.5000000
## 2113    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2114    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2115    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2116    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2117    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2118    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2119    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2120    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2121    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2122    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2123    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2124    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2125    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2126    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2127    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2128    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2129    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2130    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2131    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2132    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2133    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2134    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2135    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2136    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2137    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2138    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2139    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2140    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2141    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2142    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2143    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2144    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2145    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2146    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2147    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2148    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2149    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2150    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2151    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2152    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2153    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2154    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2155    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2156    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2157    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2158    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2159    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2160    1.6928054           7.5     0.5989357   0.4274862             0.1666667
## 2161    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2162    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2163    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2164    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2165    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2166    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2167    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2168    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2169    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2170    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2171    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2172    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2173    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2174    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2175    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2176    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2177    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2178    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2179    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2180    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2181    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2182    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2183    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2184    1.3904874           5.5     0.2931267   0.1717331             0.0000000
## 2185    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2186    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2187    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2188    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2189    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2190    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2191    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2192    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2193    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2194    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2195    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2196    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2197    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2198    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2199    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2200    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2201    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2202    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2203    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2204    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2205    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2206    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2207    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2208    1.4161738           6.0     0.5734298   0.4019640             0.0000000
## 2209    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2210    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2211    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2212    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2213    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2214    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2215    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2216    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2217    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2218    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2219    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2220    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2221    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2222    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2223    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2224    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2225    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2226    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2227    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2228    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2229    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2230    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2231    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2232    1.1830432           4.5     0.5461783   0.3756846             0.2500000
## 2233    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2234    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2235    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2236    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2237    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2238    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2239    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2240    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2241    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2242    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2243    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2244    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2245    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2246    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2247    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2248    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2249    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2250    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2251    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2252    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2253    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2254    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2255    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2256    1.0779045           5.0     0.8424721   0.7278202             0.0000000
## 2257    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2258    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2259    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2260    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2261    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2262    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2263    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2264    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2265    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2266    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2267    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2268    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2269    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2270    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2271    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2272    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2273    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2274    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2275    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2276    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2277    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2278    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2279    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2280    1.1343318           5.0     0.9128705   0.8397072             0.0000000
## 2281    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2282    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2283    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2284    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2285    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2286    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2287    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2288    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2289    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2290    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2291    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2292    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2293    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2294    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2295    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2296    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2297    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2298    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2299    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2300    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2301    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2302    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2303    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2304    0.9541375           4.5     0.8634686   0.7597403             0.5000000
## 2305    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2306    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2307    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2308    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2309    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2310    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2311    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2312    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2313    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2314    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2315    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2316    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2317    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2318    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2319    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2320    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2321    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2322    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2323    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2324    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2325    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2326    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2327    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2328    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2329    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2330    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2331    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2332    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2333    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2334    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2335    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2336    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2337    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2338    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2339    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2340    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2341    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2342    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2343    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2344    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2345    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2346    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2347    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2348    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2349    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2350    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2351    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2352    1.5937474           7.5     0.3858672   0.2390555             0.1666667
## 2353    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2354    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2355    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2356    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2357    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2358    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2359    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2360    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2361    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2362    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2363    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2364    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2365    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2366    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2367    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2368    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2369    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2370    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2371    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2372    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2373    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2374    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2375    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2376    1.6035169           7.5     0.3980177   0.2484533             0.0000000
## 2377    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2378    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2379    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2380    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2381    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2382    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2383    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2384    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2385    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2386    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2387    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2388    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2389    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2390    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2391    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2392    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2393    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2394    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2395    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2396    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2397    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2398    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2399    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2400    1.5172828           6.5     0.6578032   0.4900944             0.0000000
## 2401    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2402    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2403    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2404    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2405    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2406    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2407    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2408    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2409    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2410    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2411    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2412    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2413    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2414    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2415    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2416    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2417    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2418    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2419    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2420    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2421    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2422    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2423    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2424    1.3203870           5.5     0.5871069   0.4155353             0.2500000
## 2425    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2426    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2427    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2428    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2429    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2430    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2431    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2432    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2433    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2434    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2435    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2436    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2437    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2438    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2439    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2440    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2441    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2442    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2443    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2444    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2445    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2446    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2447    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2448    0.9457610           4.0     0.8813489   0.7878675             0.5000000
## 2449    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2450    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2451    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2452    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2453    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2454    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2455    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2456    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2457    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2458    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2459    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2460    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2461    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2462    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2463    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2464    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2465    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2466    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2467    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2468    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2469    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2470    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2471    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2472    1.0476403           5.5     0.8832972   0.7909868             0.0000000
## 2473    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2474    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2475    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2476    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2477    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2478    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2479    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2480    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2481    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2482    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2483    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2484    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2485    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2486    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2487    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2488    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2489    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2490    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2491    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2492    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2493    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2494    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2495    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2496    0.8264735           4.5     0.9161354   0.8452490             0.5000000
## 2497    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2498    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2499    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2500    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2501    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2502    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2503    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2504    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2505    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2506    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2507    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2508    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2509    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2510    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2511    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2512    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2513    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2514    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2515    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2516    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2517    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2518    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2519    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2520    2.0784670          11.0     0.0000000   0.0000000             0.0000000
## 2521    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2522    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2523    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2524    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2525    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2526    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2527    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2528    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2529    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2530    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2531    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2532    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2533    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2534    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2535    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2536    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2537    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2538    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2539    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2540    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2541    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2542    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2543    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2544    1.4908950           6.5     0.4258033   0.2704892             0.0000000
## 2545    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2546    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2547    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2548    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2549    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2550    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2551    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2552    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2553    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2554    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2555    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2556    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2557    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2558    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2559    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2560    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2561    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2562    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2563    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2564    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2565    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2566    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2567    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2568    1.4369842           7.0     0.5152690   0.3470454             0.0000000
## 2569    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2570    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2571    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2572    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2573    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2574    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2575    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2576    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2577    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2578    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2579    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2580    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2581    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2582    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2583    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2584    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2585    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2586    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2587    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2588    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2589    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2590    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2591    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2592    1.1590750           5.0     0.3094595   0.1830536             0.2500000
## 2593    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2594    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2595    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2596    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2597    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2598    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2599    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2600    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2601    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2602    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2603    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2604    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2605    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2606    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2607    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2608    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2609    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2610    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2611    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2612    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2613    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2614    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2615    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2616    1.1787010           5.0     0.5881557   0.4165868             0.2500000
## 2617    0.9245130           3.5     0.8128693   0.6847345             0.5000000
## 2618    0.9245130           3.5     0.8128693   0.6847345             0.5000000
## 2619    0.9245130           3.5     0.8128693   0.6847345             0.5000000
## 2620    0.9245130           3.5     0.8128693   0.6847345             0.5000000
## 2621    0.9245130           3.5     0.8128693   0.6847345             0.5000000
## 2622    0.9245130           3.5     0.8128693   0.6847345             0.5000000
## 2623    0.9245130           3.5     0.8128693   0.6847345             0.5000000
## 2624    0.9245130           3.5     0.8128693   0.6847345             0.5000000
## 2625    0.9245130           3.5     0.8128693   0.6847345             0.5000000
## 2626    0.9245130           3.5     0.8128693   0.6847345             0.5000000
## 2627    0.9245130           3.5     0.8128693   0.6847345             0.5000000
## 2628    0.9245130           3.5     0.8128693   0.6847345             0.5000000
## 2629    0.9245130           3.5     0.8128693   0.6847345             0.5000000
## 2630    0.9245130           3.5     0.8128693   0.6847345             0.5000000
## 2631    0.9245130           3.5     0.8128693   0.6847345             0.5000000
##      beta_nestedness beta_total metaecosystem_richness
## 1         0.00000000 0.00000000                     11
## 2         0.00000000 0.00000000                     11
## 3         0.00000000 0.00000000                     11
## 4         0.00000000 0.00000000                     11
## 5         0.00000000 0.00000000                     11
## 6         0.00000000 0.00000000                     11
## 7         0.00000000 0.00000000                     11
## 8         0.00000000 0.00000000                     11
## 9         0.00000000 0.00000000                     11
## 10        0.00000000 0.00000000                     11
## 11        0.00000000 0.00000000                     11
## 12        0.00000000 0.00000000                     11
## 13        0.00000000 0.00000000                     11
## 14        0.00000000 0.00000000                     11
## 15        0.00000000 0.00000000                     11
## 16        0.00000000 0.00000000                     11
## 17        0.00000000 0.00000000                     11
## 18        0.00000000 0.00000000                     11
## 19        0.00000000 0.00000000                     11
## 20        0.00000000 0.00000000                     11
## 21        0.00000000 0.00000000                     11
## 22        0.00000000 0.00000000                     11
## 23        0.00000000 0.00000000                     11
## 24        0.00000000 0.00000000                     11
## 25        0.05714286 0.20000000                      9
## 26        0.05714286 0.20000000                      9
## 27        0.05714286 0.20000000                      9
## 28        0.05714286 0.20000000                      9
## 29        0.05714286 0.20000000                      9
## 30        0.05714286 0.20000000                      9
## 31        0.05714286 0.20000000                      9
## 32        0.05714286 0.20000000                      9
## 33        0.05714286 0.20000000                      9
## 34        0.05714286 0.20000000                      9
## 35        0.05714286 0.20000000                      9
## 36        0.05714286 0.20000000                      9
## 37        0.05714286 0.20000000                      9
## 38        0.05714286 0.20000000                      9
## 39        0.05714286 0.20000000                      9
## 40        0.05714286 0.20000000                      9
## 41        0.05714286 0.20000000                      9
## 42        0.05714286 0.20000000                      9
## 43        0.05714286 0.20000000                      9
## 44        0.05714286 0.20000000                      9
## 45        0.05714286 0.20000000                      9
## 46        0.05714286 0.20000000                      9
## 47        0.05714286 0.20000000                      9
## 48        0.05714286 0.20000000                      9
## 49        0.00000000 0.12500000                      9
## 50        0.00000000 0.12500000                      9
## 51        0.00000000 0.12500000                      9
## 52        0.00000000 0.12500000                      9
## 53        0.00000000 0.12500000                      9
## 54        0.00000000 0.12500000                      9
## 55        0.00000000 0.12500000                      9
## 56        0.00000000 0.12500000                      9
## 57        0.00000000 0.12500000                      9
## 58        0.00000000 0.12500000                      9
## 59        0.00000000 0.12500000                      9
## 60        0.00000000 0.12500000                      9
## 61        0.00000000 0.12500000                      9
## 62        0.00000000 0.12500000                      9
## 63        0.00000000 0.12500000                      9
## 64        0.00000000 0.12500000                      9
## 65        0.00000000 0.12500000                      9
## 66        0.00000000 0.12500000                      9
## 67        0.00000000 0.12500000                      9
## 68        0.00000000 0.12500000                      9
## 69        0.00000000 0.12500000                      9
## 70        0.00000000 0.12500000                      9
## 71        0.00000000 0.12500000                      9
## 72        0.00000000 0.12500000                      9
## 73        0.33333333 0.33333333                      8
## 74        0.33333333 0.33333333                      8
## 75        0.33333333 0.33333333                      8
## 76        0.33333333 0.33333333                      8
## 77        0.33333333 0.33333333                      8
## 78        0.33333333 0.33333333                      8
## 79        0.33333333 0.33333333                      8
## 80        0.33333333 0.33333333                      8
## 81        0.33333333 0.33333333                      8
## 82        0.33333333 0.33333333                      8
## 83        0.33333333 0.33333333                      8
## 84        0.33333333 0.33333333                      8
## 85        0.33333333 0.33333333                      8
## 86        0.33333333 0.33333333                      8
## 87        0.33333333 0.33333333                      8
## 88        0.33333333 0.33333333                      8
## 89        0.33333333 0.33333333                      8
## 90        0.33333333 0.33333333                      8
## 91        0.33333333 0.33333333                      8
## 92        0.33333333 0.33333333                      8
## 93        0.33333333 0.33333333                      8
## 94        0.33333333 0.33333333                      8
## 95        0.33333333 0.33333333                      8
## 96        0.33333333 0.33333333                      8
## 97        0.05714286 0.20000000                      9
## 98        0.05714286 0.20000000                      9
## 99        0.05714286 0.20000000                      9
## 100       0.05714286 0.20000000                      9
## 101       0.05714286 0.20000000                      9
## 102       0.05714286 0.20000000                      9
## 103       0.05714286 0.20000000                      9
## 104       0.05714286 0.20000000                      9
## 105       0.05714286 0.20000000                      9
## 106       0.05714286 0.20000000                      9
## 107       0.05714286 0.20000000                      9
## 108       0.05714286 0.20000000                      9
## 109       0.05714286 0.20000000                      9
## 110       0.05714286 0.20000000                      9
## 111       0.05714286 0.20000000                      9
## 112       0.05714286 0.20000000                      9
## 113       0.05714286 0.20000000                      9
## 114       0.05714286 0.20000000                      9
## 115       0.05714286 0.20000000                      9
## 116       0.05714286 0.20000000                      9
## 117       0.05714286 0.20000000                      9
## 118       0.05714286 0.20000000                      9
## 119       0.05714286 0.20000000                      9
## 120       0.05714286 0.20000000                      9
## 121       0.50000000 0.50000000                      6
## 122       0.50000000 0.50000000                      6
## 123       0.50000000 0.50000000                      6
## 124       0.50000000 0.50000000                      6
## 125       0.50000000 0.50000000                      6
## 126       0.50000000 0.50000000                      6
## 127       0.50000000 0.50000000                      6
## 128       0.50000000 0.50000000                      6
## 129       0.50000000 0.50000000                      6
## 130       0.50000000 0.50000000                      6
## 131       0.50000000 0.50000000                      6
## 132       0.50000000 0.50000000                      6
## 133       0.50000000 0.50000000                      6
## 134       0.50000000 0.50000000                      6
## 135       0.50000000 0.50000000                      6
## 136       0.50000000 0.50000000                      6
## 137       0.50000000 0.50000000                      6
## 138       0.50000000 0.50000000                      6
## 139       0.50000000 0.50000000                      6
## 140       0.50000000 0.50000000                      6
## 141       0.50000000 0.50000000                      6
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## 2548      0.14285714 0.14285714                      8
## 2549      0.14285714 0.14285714                      8
## 2550      0.14285714 0.14285714                      8
## 2551      0.14285714 0.14285714                      8
## 2552      0.14285714 0.14285714                      8
## 2553      0.14285714 0.14285714                      8
## 2554      0.14285714 0.14285714                      8
## 2555      0.14285714 0.14285714                      8
## 2556      0.14285714 0.14285714                      8
## 2557      0.14285714 0.14285714                      8
## 2558      0.14285714 0.14285714                      8
## 2559      0.14285714 0.14285714                      8
## 2560      0.14285714 0.14285714                      8
## 2561      0.14285714 0.14285714                      8
## 2562      0.14285714 0.14285714                      8
## 2563      0.14285714 0.14285714                      8
## 2564      0.14285714 0.14285714                      8
## 2565      0.14285714 0.14285714                      8
## 2566      0.14285714 0.14285714                      8
## 2567      0.14285714 0.14285714                      8
## 2568      0.14285714 0.14285714                      8
## 2569      0.15000000 0.40000000                      7
## 2570      0.15000000 0.40000000                      7
## 2571      0.15000000 0.40000000                      7
## 2572      0.15000000 0.40000000                      7
## 2573      0.15000000 0.40000000                      7
## 2574      0.15000000 0.40000000                      7
## 2575      0.15000000 0.40000000                      7
## 2576      0.15000000 0.40000000                      7
## 2577      0.15000000 0.40000000                      7
## 2578      0.15000000 0.40000000                      7
## 2579      0.15000000 0.40000000                      7
## 2580      0.15000000 0.40000000                      7
## 2581      0.15000000 0.40000000                      7
## 2582      0.15000000 0.40000000                      7
## 2583      0.15000000 0.40000000                      7
## 2584      0.15000000 0.40000000                      7
## 2585      0.15000000 0.40000000                      7
## 2586      0.15000000 0.40000000                      7
## 2587      0.15000000 0.40000000                      7
## 2588      0.15000000 0.40000000                      7
## 2589      0.15000000 0.40000000                      7
## 2590      0.15000000 0.40000000                      7
## 2591      0.15000000 0.40000000                      7
## 2592      0.15000000 0.40000000                      7
## 2593      0.15000000 0.40000000                      7
## 2594      0.15000000 0.40000000                      7
## 2595      0.15000000 0.40000000                      7
## 2596      0.15000000 0.40000000                      7
## 2597      0.15000000 0.40000000                      7
## 2598      0.15000000 0.40000000                      7
## 2599      0.15000000 0.40000000                      7
## 2600      0.15000000 0.40000000                      7
## 2601      0.15000000 0.40000000                      7
## 2602      0.15000000 0.40000000                      7
## 2603      0.15000000 0.40000000                      7
## 2604      0.15000000 0.40000000                      7
## 2605      0.15000000 0.40000000                      7
## 2606      0.15000000 0.40000000                      7
## 2607      0.15000000 0.40000000                      7
## 2608      0.15000000 0.40000000                      7
## 2609      0.15000000 0.40000000                      7
## 2610      0.15000000 0.40000000                      7
## 2611      0.15000000 0.40000000                      7
## 2612      0.15000000 0.40000000                      7
## 2613      0.15000000 0.40000000                      7
## 2614      0.15000000 0.40000000                      7
## 2615      0.15000000 0.40000000                      7
## 2616      0.15000000 0.40000000                      7
## 2617      0.21428571 0.71428571                      6
## 2618      0.21428571 0.71428571                      6
## 2619      0.21428571 0.71428571                      6
## 2620      0.21428571 0.71428571                      6
## 2621      0.21428571 0.71428571                      6
## 2622      0.21428571 0.71428571                      6
## 2623      0.21428571 0.71428571                      6
## 2624      0.21428571 0.71428571                      6
## 2625      0.21428571 0.71428571                      6
## 2626      0.21428571 0.71428571                      6
## 2627      0.21428571 0.71428571                      6
## 2628      0.21428571 0.71428571                      6
## 2629      0.21428571 0.71428571                      6
## 2630      0.21428571 0.71428571                      6
## 2631      0.21428571 0.71428571                      6
##      total_metaecosystem_bioarea_mm2 total_metaecosystem_Ble_indiv
## 1                           96.92197                      217.1512
## 2                           96.92197                      217.1512
## 3                           96.92197                      217.1512
## 4                           96.92197                      217.1512
## 5                           96.92197                      217.1512
## 6                           96.92197                      217.1512
## 7                           96.92197                      217.1512
## 8                           96.92197                      217.1512
## 9                           96.92197                      217.1512
## 10                          96.92197                      217.1512
## 11                          96.92197                      217.1512
## 12                          96.92197                      217.1512
## 13                          96.92197                      217.1512
## 14                          96.92197                      217.1512
## 15                          96.92197                      217.1512
## 16                          96.92197                      217.1512
## 17                          96.92197                      217.1512
## 18                          96.92197                      217.1512
## 19                          96.92197                      217.1512
## 20                          96.92197                      217.1512
## 21                          96.92197                      217.1512
## 22                          96.92197                      217.1512
## 23                          96.92197                      217.1512
## 24                          96.92197                      217.1512
## 25                         152.90836                     1037.7907
## 26                         152.90836                     1037.7907
## 27                         152.90836                     1037.7907
## 28                         152.90836                     1037.7907
## 29                         152.90836                     1037.7907
## 30                         152.90836                     1037.7907
## 31                         152.90836                     1037.7907
## 32                         152.90836                     1037.7907
## 33                         152.90836                     1037.7907
## 34                         152.90836                     1037.7907
## 35                         152.90836                     1037.7907
## 36                         152.90836                     1037.7907
## 37                         152.90836                     1037.7907
## 38                         152.90836                     1037.7907
## 39                         152.90836                     1037.7907
## 40                         152.90836                     1037.7907
## 41                         152.90836                     1037.7907
## 42                         152.90836                     1037.7907
## 43                         152.90836                     1037.7907
## 44                         152.90836                     1037.7907
## 45                         152.90836                     1037.7907
## 46                         152.90836                     1037.7907
## 47                         152.90836                     1037.7907
## 48                         152.90836                     1037.7907
## 49                         163.09305                     2398.2558
## 50                         163.09305                     2398.2558
## 51                         163.09305                     2398.2558
## 52                         163.09305                     2398.2558
## 53                         163.09305                     2398.2558
## 54                         163.09305                     2398.2558
## 55                         163.09305                     2398.2558
## 56                         163.09305                     2398.2558
## 57                         163.09305                     2398.2558
## 58                         163.09305                     2398.2558
## 59                         163.09305                     2398.2558
## 60                         163.09305                     2398.2558
## 61                         163.09305                     2398.2558
## 62                         163.09305                     2398.2558
## 63                         163.09305                     2398.2558
## 64                         163.09305                     2398.2558
## 65                         163.09305                     2398.2558
## 66                         163.09305                     2398.2558
## 67                         163.09305                     2398.2558
## 68                         163.09305                     2398.2558
## 69                         163.09305                     2398.2558
## 70                         163.09305                     2398.2558
## 71                         163.09305                     2398.2558
## 72                         163.09305                     2398.2558
## 73                         182.03030                     3174.4186
## 74                         182.03030                     3174.4186
## 75                         182.03030                     3174.4186
## 76                         182.03030                     3174.4186
## 77                         182.03030                     3174.4186
## 78                         182.03030                     3174.4186
## 79                         182.03030                     3174.4186
## 80                         182.03030                     3174.4186
## 81                         182.03030                     3174.4186
## 82                         182.03030                     3174.4186
## 83                         182.03030                     3174.4186
## 84                         182.03030                     3174.4186
## 85                         182.03030                     3174.4186
## 86                         182.03030                     3174.4186
## 87                         182.03030                     3174.4186
## 88                         182.03030                     3174.4186
## 89                         182.03030                     3174.4186
## 90                         182.03030                     3174.4186
## 91                         182.03030                     3174.4186
## 92                         182.03030                     3174.4186
## 93                         182.03030                     3174.4186
## 94                         182.03030                     3174.4186
## 95                         182.03030                     3174.4186
## 96                         182.03030                     3174.4186
## 97                         140.28580                     4006.3953
## 98                         140.28580                     4006.3953
## 99                         140.28580                     4006.3953
## 100                        140.28580                     4006.3953
## 101                        140.28580                     4006.3953
## 102                        140.28580                     4006.3953
## 103                        140.28580                     4006.3953
## 104                        140.28580                     4006.3953
## 105                        140.28580                     4006.3953
## 106                        140.28580                     4006.3953
## 107                        140.28580                     4006.3953
## 108                        140.28580                     4006.3953
## 109                        140.28580                     4006.3953
## 110                        140.28580                     4006.3953
## 111                        140.28580                     4006.3953
## 112                        140.28580                     4006.3953
## 113                        140.28580                     4006.3953
## 114                        140.28580                     4006.3953
## 115                        140.28580                     4006.3953
## 116                        140.28580                     4006.3953
## 117                        140.28580                     4006.3953
## 118                        140.28580                     4006.3953
## 119                        140.28580                     4006.3953
## 120                        140.28580                     4006.3953
## 121                        117.28324                     3750.0000
## 122                        117.28324                     3750.0000
## 123                        117.28324                     3750.0000
## 124                        117.28324                     3750.0000
## 125                        117.28324                     3750.0000
## 126                        117.28324                     3750.0000
## 127                        117.28324                     3750.0000
## 128                        117.28324                     3750.0000
## 129                        117.28324                     3750.0000
## 130                        117.28324                     3750.0000
## 131                        117.28324                     3750.0000
## 132                        117.28324                     3750.0000
## 133                        117.28324                     3750.0000
## 134                        117.28324                     3750.0000
## 135                        117.28324                     3750.0000
## 136                        117.28324                     3750.0000
## 137                        117.28324                     3750.0000
## 138                        117.28324                     3750.0000
## 139                        117.28324                     3750.0000
## 140                        117.28324                     3750.0000
## 141                        117.28324                     3750.0000
## 142                        117.28324                     3750.0000
## 143                        117.28324                     3750.0000
## 144                        117.28324                     3750.0000
## 145                        103.80974                     2986.9186
## 146                        103.80974                     2986.9186
## 147                        103.80974                     2986.9186
## 148                        103.80974                     2986.9186
## 149                        103.80974                     2986.9186
## 150                        103.80974                     2986.9186
## 151                        103.80974                     2986.9186
## 152                        103.80974                     2986.9186
## 153                        103.80974                     2986.9186
## 154                        103.80974                     2986.9186
## 155                        103.80974                     2986.9186
## 156                        103.80974                     2986.9186
## 157                        103.80974                     2986.9186
## 158                        103.80974                     2986.9186
## 159                        103.80974                     2986.9186
## 160                        103.80974                     2986.9186
## 161                        103.80974                     2986.9186
## 162                        103.80974                     2986.9186
## 163                        103.80974                     2986.9186
## 164                        103.80974                     2986.9186
## 165                        103.80974                     2986.9186
## 166                        103.80974                     2986.9186
## 167                        103.80974                     2986.9186
## 168                        103.80974                     2986.9186
## 169                         92.60172                     1748.5465
## 170                         92.60172                     1748.5465
## 171                         92.60172                     1748.5465
## 172                         92.60172                     1748.5465
## 173                         92.60172                     1748.5465
## 174                         92.60172                     1748.5465
## 175                         92.60172                     1748.5465
## 176                         92.60172                     1748.5465
## 177                         92.60172                     1748.5465
## 178                         92.60172                     1748.5465
## 179                         92.60172                     1748.5465
## 180                         92.60172                     1748.5465
## 181                         92.60172                     1748.5465
## 182                         92.60172                     1748.5465
## 183                         92.60172                     1748.5465
## 184                         92.60172                     1748.5465
## 185                         92.60172                     1748.5465
## 186                         92.60172                     1748.5465
## 187                         92.60172                     1748.5465
## 188                         92.60172                     1748.5465
## 189                         92.60172                     1748.5465
## 190                         92.60172                     1748.5465
## 191                         92.60172                     1748.5465
## 192                         92.60172                     1748.5465
## 193                         96.92197                      217.1512
## 194                         96.92197                      217.1512
## 195                         96.92197                      217.1512
## 196                         96.92197                      217.1512
## 197                         96.92197                      217.1512
## 198                         96.92197                      217.1512
## 199                         96.92197                      217.1512
## 200                         96.92197                      217.1512
## 201                         96.92197                      217.1512
## 202                         96.92197                      217.1512
## 203                         96.92197                      217.1512
## 204                         96.92197                      217.1512
## 205                         96.92197                      217.1512
## 206                         96.92197                      217.1512
## 207                         96.92197                      217.1512
## 208                         96.92197                      217.1512
## 209                         96.92197                      217.1512
## 210                         96.92197                      217.1512
## 211                         96.92197                      217.1512
## 212                         96.92197                      217.1512
## 213                         96.92197                      217.1512
## 214                         96.92197                      217.1512
## 215                         96.92197                      217.1512
## 216                         96.92197                      217.1512
## 217                        229.78020                     5537.7907
## 218                        229.78020                     5537.7907
## 219                        229.78020                     5537.7907
## 220                        229.78020                     5537.7907
## 221                        229.78020                     5537.7907
## 222                        229.78020                     5537.7907
## 223                        229.78020                     5537.7907
## 224                        229.78020                     5537.7907
## 225                        229.78020                     5537.7907
## 226                        229.78020                     5537.7907
## 227                        229.78020                     5537.7907
## 228                        229.78020                     5537.7907
## 229                        229.78020                     5537.7907
## 230                        229.78020                     5537.7907
## 231                        229.78020                     5537.7907
## 232                        229.78020                     5537.7907
## 233                        229.78020                     5537.7907
## 234                        229.78020                     5537.7907
## 235                        229.78020                     5537.7907
## 236                        229.78020                     5537.7907
## 237                        229.78020                     5537.7907
## 238                        229.78020                     5537.7907
## 239                        229.78020                     5537.7907
## 240                        229.78020                     5537.7907
## 241                        133.25628                     2904.0698
## 242                        133.25628                     2904.0698
## 243                        133.25628                     2904.0698
## 244                        133.25628                     2904.0698
## 245                        133.25628                     2904.0698
## 246                        133.25628                     2904.0698
## 247                        133.25628                     2904.0698
## 248                        133.25628                     2904.0698
## 249                        133.25628                     2904.0698
## 250                        133.25628                     2904.0698
## 251                        133.25628                     2904.0698
## 252                        133.25628                     2904.0698
## 253                        133.25628                     2904.0698
## 254                        133.25628                     2904.0698
## 255                        133.25628                     2904.0698
## 256                        133.25628                     2904.0698
## 257                        133.25628                     2904.0698
## 258                        133.25628                     2904.0698
## 259                        133.25628                     2904.0698
## 260                        133.25628                     2904.0698
## 261                        133.25628                     2904.0698
## 262                        133.25628                     2904.0698
## 263                        133.25628                     2904.0698
## 264                        133.25628                     2904.0698
## 265                        209.35334                     4752.9070
## 266                        209.35334                     4752.9070
## 267                        209.35334                     4752.9070
## 268                        209.35334                     4752.9070
## 269                        209.35334                     4752.9070
## 270                        209.35334                     4752.9070
## 271                        209.35334                     4752.9070
## 272                        209.35334                     4752.9070
## 273                        209.35334                     4752.9070
## 274                        209.35334                     4752.9070
## 275                        209.35334                     4752.9070
## 276                        209.35334                     4752.9070
## 277                        209.35334                     4752.9070
## 278                        209.35334                     4752.9070
## 279                        209.35334                     4752.9070
## 280                        209.35334                     4752.9070
## 281                        209.35334                     4752.9070
## 282                        209.35334                     4752.9070
## 283                        209.35334                     4752.9070
## 284                        209.35334                     4752.9070
## 285                        209.35334                     4752.9070
## 286                        209.35334                     4752.9070
## 287                        209.35334                     4752.9070
## 288                        209.35334                     4752.9070
## 289                        176.95269                     3430.8140
## 290                        176.95269                     3430.8140
## 291                        176.95269                     3430.8140
## 292                        176.95269                     3430.8140
## 293                        176.95269                     3430.8140
## 294                        176.95269                     3430.8140
## 295                        176.95269                     3430.8140
## 296                        176.95269                     3430.8140
## 297                        176.95269                     3430.8140
## 298                        176.95269                     3430.8140
## 299                        176.95269                     3430.8140
## 300                        176.95269                     3430.8140
## 301                        176.95269                     3430.8140
## 302                        176.95269                     3430.8140
## 303                        176.95269                     3430.8140
## 304                        176.95269                     3430.8140
## 305                        176.95269                     3430.8140
## 306                        176.95269                     3430.8140
## 307                        176.95269                     3430.8140
## 308                        176.95269                     3430.8140
## 309                        176.95269                     3430.8140
## 310                        176.95269                     3430.8140
## 311                        176.95269                     3430.8140
## 312                        176.95269                     3430.8140
## 313                        119.42234                     2659.8837
## 314                        119.42234                     2659.8837
## 315                        119.42234                     2659.8837
## 316                        119.42234                     2659.8837
## 317                        119.42234                     2659.8837
## 318                        119.42234                     2659.8837
## 319                        119.42234                     2659.8837
## 320                        119.42234                     2659.8837
## 321                        119.42234                     2659.8837
## 322                        119.42234                     2659.8837
## 323                        119.42234                     2659.8837
## 324                        119.42234                     2659.8837
## 325                        119.42234                     2659.8837
## 326                        119.42234                     2659.8837
## 327                        119.42234                     2659.8837
## 328                        119.42234                     2659.8837
## 329                        119.42234                     2659.8837
## 330                        119.42234                     2659.8837
## 331                        119.42234                     2659.8837
## 332                        119.42234                     2659.8837
## 333                        119.42234                     2659.8837
## 334                        119.42234                     2659.8837
## 335                        119.42234                     2659.8837
## 336                        119.42234                     2659.8837
## 337                        105.58980                     4984.0116
## 338                        105.58980                     4984.0116
## 339                        105.58980                     4984.0116
## 340                        105.58980                     4984.0116
## 341                        105.58980                     4984.0116
## 342                        105.58980                     4984.0116
## 343                        105.58980                     4984.0116
## 344                        105.58980                     4984.0116
## 345                        105.58980                     4984.0116
## 346                        105.58980                     4984.0116
## 347                        105.58980                     4984.0116
## 348                        105.58980                     4984.0116
## 349                        105.58980                     4984.0116
## 350                        105.58980                     4984.0116
## 351                        105.58980                     4984.0116
## 352                        105.58980                     4984.0116
## 353                        105.58980                     4984.0116
## 354                        105.58980                     4984.0116
## 355                        105.58980                     4984.0116
## 356                        105.58980                     4984.0116
## 357                        105.58980                     4984.0116
## 358                        105.58980                     4984.0116
## 359                        105.58980                     4984.0116
## 360                        105.58980                     4984.0116
## 361                         70.36451                     2376.4535
## 362                         70.36451                     2376.4535
## 363                         70.36451                     2376.4535
## 364                         70.36451                     2376.4535
## 365                         70.36451                     2376.4535
## 366                         70.36451                     2376.4535
## 367                         70.36451                     2376.4535
## 368                         70.36451                     2376.4535
## 369                         70.36451                     2376.4535
## 370                         70.36451                     2376.4535
## 371                         70.36451                     2376.4535
## 372                         70.36451                     2376.4535
## 373                         70.36451                     2376.4535
## 374                         70.36451                     2376.4535
## 375                         70.36451                     2376.4535
## 376                         70.36451                     2376.4535
## 377                         70.36451                     2376.4535
## 378                         70.36451                     2376.4535
## 379                         70.36451                     2376.4535
## 380                         70.36451                     2376.4535
## 381                         70.36451                     2376.4535
## 382                         70.36451                     2376.4535
## 383                         70.36451                     2376.4535
## 384                         70.36451                     2376.4535
## 385                         96.92197                      217.1512
## 386                         96.92197                      217.1512
## 387                         96.92197                      217.1512
## 388                         96.92197                      217.1512
## 389                         96.92197                      217.1512
## 390                         96.92197                      217.1512
## 391                         96.92197                      217.1512
## 392                         96.92197                      217.1512
## 393                         96.92197                      217.1512
## 394                         96.92197                      217.1512
## 395                         96.92197                      217.1512
## 396                         96.92197                      217.1512
## 397                         96.92197                      217.1512
## 398                         96.92197                      217.1512
## 399                         96.92197                      217.1512
## 400                         96.92197                      217.1512
## 401                         96.92197                      217.1512
## 402                         96.92197                      217.1512
## 403                         96.92197                      217.1512
## 404                         96.92197                      217.1512
## 405                         96.92197                      217.1512
## 406                         96.92197                      217.1512
## 407                         96.92197                      217.1512
## 408                         96.92197                      217.1512
## 409                        184.49614                     3488.3721
## 410                        184.49614                     3488.3721
## 411                        184.49614                     3488.3721
## 412                        184.49614                     3488.3721
## 413                        184.49614                     3488.3721
## 414                        184.49614                     3488.3721
## 415                        184.49614                     3488.3721
## 416                        184.49614                     3488.3721
## 417                        184.49614                     3488.3721
## 418                        184.49614                     3488.3721
## 419                        184.49614                     3488.3721
## 420                        184.49614                     3488.3721
## 421                        184.49614                     3488.3721
## 422                        184.49614                     3488.3721
## 423                        184.49614                     3488.3721
## 424                        184.49614                     3488.3721
## 425                        184.49614                     3488.3721
## 426                        184.49614                     3488.3721
## 427                        184.49614                     3488.3721
## 428                        184.49614                     3488.3721
## 429                        184.49614                     3488.3721
## 430                        184.49614                     3488.3721
## 431                        184.49614                     3488.3721
## 432                        184.49614                     3488.3721
## 433                        183.48227                     3715.1163
## 434                        183.48227                     3715.1163
## 435                        183.48227                     3715.1163
## 436                        183.48227                     3715.1163
## 437                        183.48227                     3715.1163
## 438                        183.48227                     3715.1163
## 439                        183.48227                     3715.1163
## 440                        183.48227                     3715.1163
## 441                        183.48227                     3715.1163
## 442                        183.48227                     3715.1163
## 443                        183.48227                     3715.1163
## 444                        183.48227                     3715.1163
## 445                        183.48227                     3715.1163
## 446                        183.48227                     3715.1163
## 447                        183.48227                     3715.1163
## 448                        183.48227                     3715.1163
## 449                        183.48227                     3715.1163
## 450                        183.48227                     3715.1163
## 451                        183.48227                     3715.1163
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## 576                        141.11066                     2180.2326
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## 888                        214.36970                     1512.2093
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## 911                        171.23111                     2162.7907
## 912                        171.23111                     2162.7907
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## 936                        151.16653                     4547.9651
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## 959                        111.09645                     3920.0581
## 960                        111.09645                     3920.0581
## 961                         96.92197                      217.1512
## 962                         96.92197                      217.1512
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## 973                         96.92197                      217.1512
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## 975                         96.92197                      217.1512
## 976                         96.92197                      217.1512
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## 1151                        91.77408                     1748.5465
## 1152                        91.77408                     1748.5465
## 1153                        96.92197                      217.1512
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## 1176                        96.92197                      217.1512
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## 1339                        69.53686                     2376.4535
## 1340                        69.53686                     2376.4535
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## 1343                        69.53686                     2376.4535
## 1344                        69.53686                     2376.4535
## 1345                        96.92197                      217.1512
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## 1358                        96.92197                      217.1512
## 1359                        96.92197                      217.1512
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## 1365                        96.92197                      217.1512
## 1366                        96.92197                      217.1512
## 1367                        96.92197                      217.1512
## 1368                        96.92197                      217.1512
## 1369                       178.88926                     3270.3488
## 1370                       178.88926                     3270.3488
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## 1381                       178.88926                     3270.3488
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## 1388                       178.88926                     3270.3488
## 1389                       178.88926                     3270.3488
## 1390                       178.88926                     3270.3488
## 1391                       178.88926                     3270.3488
## 1392                       178.88926                     3270.3488
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## 1440                       157.48855                     4709.3023
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## 1465                       139.36826                     7709.3023
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## 1485                       139.36826                     7709.3023
## 1486                       139.36826                     7709.3023
## 1487                       139.36826                     7709.3023
## 1488                       139.36826                     7709.3023
## 1489                        98.96723                     3553.7791
## 1490                        98.96723                     3553.7791
## 1491                        98.96723                     3553.7791
## 1492                        98.96723                     3553.7791
## 1493                        98.96723                     3553.7791
## 1494                        98.96723                     3553.7791
## 1495                        98.96723                     3553.7791
## 1496                        98.96723                     3553.7791
## 1497                        98.96723                     3553.7791
## 1498                        98.96723                     3553.7791
## 1499                        98.96723                     3553.7791
## 1500                        98.96723                     3553.7791
## 1501                        98.96723                     3553.7791
## 1502                        98.96723                     3553.7791
## 1503                        98.96723                     3553.7791
## 1504                        98.96723                     3553.7791
## 1505                        98.96723                     3553.7791
## 1506                        98.96723                     3553.7791
## 1507                        98.96723                     3553.7791
## 1508                        98.96723                     3553.7791
## 1509                        98.96723                     3553.7791
## 1510                        98.96723                     3553.7791
## 1511                        98.96723                     3553.7791
## 1512                        98.96723                     3553.7791
## 1513                       140.28302                     2180.2326
## 1514                       140.28302                     2180.2326
## 1515                       140.28302                     2180.2326
## 1516                       140.28302                     2180.2326
## 1517                       140.28302                     2180.2326
## 1518                       140.28302                     2180.2326
## 1519                       140.28302                     2180.2326
## 1520                       140.28302                     2180.2326
## 1521                       140.28302                     2180.2326
## 1522                       140.28302                     2180.2326
## 1523                       140.28302                     2180.2326
## 1524                       140.28302                     2180.2326
## 1525                       140.28302                     2180.2326
## 1526                       140.28302                     2180.2326
## 1527                       140.28302                     2180.2326
## 1528                       140.28302                     2180.2326
## 1529                       140.28302                     2180.2326
## 1530                       140.28302                     2180.2326
## 1531                       140.28302                     2180.2326
## 1532                       140.28302                     2180.2326
## 1533                       140.28302                     2180.2326
## 1534                       140.28302                     2180.2326
## 1535                       140.28302                     2180.2326
## 1536                       140.28302                     2180.2326
## 1537                        96.92197                      217.1512
## 1538                        96.92197                      217.1512
## 1539                        96.92197                      217.1512
## 1540                        96.92197                      217.1512
## 1541                        96.92197                      217.1512
## 1542                        96.92197                      217.1512
## 1543                        96.92197                      217.1512
## 1544                        96.92197                      217.1512
## 1545                        96.92197                      217.1512
## 1546                        96.92197                      217.1512
## 1547                        96.92197                      217.1512
## 1548                        96.92197                      217.1512
## 1549                        96.92197                      217.1512
## 1550                        96.92197                      217.1512
## 1551                        96.92197                      217.1512
## 1552                        96.92197                      217.1512
## 1553                        96.92197                      217.1512
## 1554                        96.92197                      217.1512
## 1555                        96.92197                      217.1512
## 1556                        96.92197                      217.1512
## 1557                        96.92197                      217.1512
## 1558                        96.92197                      217.1512
## 1559                        96.92197                      217.1512
## 1560                        96.92197                      217.1512
## 1561                       110.30845                     1090.1163
## 1562                       110.30845                     1090.1163
## 1563                       110.30845                     1090.1163
## 1564                       110.30845                     1090.1163
## 1565                       110.30845                     1090.1163
## 1566                       110.30845                     1090.1163
## 1567                       110.30845                     1090.1163
## 1568                       110.30845                     1090.1163
## 1569                       110.30845                     1090.1163
## 1570                       110.30845                     1090.1163
## 1571                       110.30845                     1090.1163
## 1572                       110.30845                     1090.1163
## 1573                       110.30845                     1090.1163
## 1574                       110.30845                     1090.1163
## 1575                       110.30845                     1090.1163
## 1576                       110.30845                     1090.1163
## 1577                       110.30845                     1090.1163
## 1578                       110.30845                     1090.1163
## 1579                       110.30845                     1090.1163
## 1580                       110.30845                     1090.1163
## 1581                       110.30845                     1090.1163
## 1582                       110.30845                     1090.1163
## 1583                       110.30845                     1090.1163
## 1584                       110.30845                     1090.1163
## 1585                       177.73560                     1796.5116
## 1586                       177.73560                     1796.5116
## 1587                       177.73560                     1796.5116
## 1588                       177.73560                     1796.5116
## 1589                       177.73560                     1796.5116
## 1590                       177.73560                     1796.5116
## 1591                       177.73560                     1796.5116
## 1592                       177.73560                     1796.5116
## 1593                       177.73560                     1796.5116
## 1594                       177.73560                     1796.5116
## 1595                       177.73560                     1796.5116
## 1596                       177.73560                     1796.5116
## 1597                       177.73560                     1796.5116
## 1598                       177.73560                     1796.5116
## 1599                       177.73560                     1796.5116
## 1600                       177.73560                     1796.5116
## 1601                       177.73560                     1796.5116
## 1602                       177.73560                     1796.5116
## 1603                       177.73560                     1796.5116
## 1604                       177.73560                     1796.5116
## 1605                       177.73560                     1796.5116
## 1606                       177.73560                     1796.5116
## 1607                       177.73560                     1796.5116
## 1608                       177.73560                     1796.5116
## 1609                       114.02030                     2616.2791
## 1610                       114.02030                     2616.2791
## 1611                       114.02030                     2616.2791
## 1612                       114.02030                     2616.2791
## 1613                       114.02030                     2616.2791
## 1614                       114.02030                     2616.2791
## 1615                       114.02030                     2616.2791
## 1616                       114.02030                     2616.2791
## 1617                       114.02030                     2616.2791
## 1618                       114.02030                     2616.2791
## 1619                       114.02030                     2616.2791
## 1620                       114.02030                     2616.2791
## 1621                       114.02030                     2616.2791
## 1622                       114.02030                     2616.2791
## 1623                       114.02030                     2616.2791
## 1624                       114.02030                     2616.2791
## 1625                       114.02030                     2616.2791
## 1626                       114.02030                     2616.2791
## 1627                       114.02030                     2616.2791
## 1628                       114.02030                     2616.2791
## 1629                       114.02030                     2616.2791
## 1630                       114.02030                     2616.2791
## 1631                       114.02030                     2616.2791
## 1632                       114.02030                     2616.2791
## 1633                       146.27287                     3680.2326
## 1634                       146.27287                     3680.2326
## 1635                       146.27287                     3680.2326
## 1636                       146.27287                     3680.2326
## 1637                       146.27287                     3680.2326
## 1638                       146.27287                     3680.2326
## 1639                       146.27287                     3680.2326
## 1640                       146.27287                     3680.2326
## 1641                       146.27287                     3680.2326
## 1642                       146.27287                     3680.2326
## 1643                       146.27287                     3680.2326
## 1644                       146.27287                     3680.2326
## 1645                       146.27287                     3680.2326
## 1646                       146.27287                     3680.2326
## 1647                       146.27287                     3680.2326
## 1648                       146.27287                     3680.2326
## 1649                       146.27287                     3680.2326
## 1650                       146.27287                     3680.2326
## 1651                       146.27287                     3680.2326
## 1652                       146.27287                     3680.2326
## 1653                       146.27287                     3680.2326
## 1654                       146.27287                     3680.2326
## 1655                       146.27287                     3680.2326
## 1656                       146.27287                     3680.2326
## 1657                        59.54311                     4360.4651
## 1658                        59.54311                     4360.4651
## 1659                        59.54311                     4360.4651
## 1660                        59.54311                     4360.4651
## 1661                        59.54311                     4360.4651
## 1662                        59.54311                     4360.4651
## 1663                        59.54311                     4360.4651
## 1664                        59.54311                     4360.4651
## 1665                        59.54311                     4360.4651
## 1666                        59.54311                     4360.4651
## 1667                        59.54311                     4360.4651
## 1668                        59.54311                     4360.4651
## 1669                        59.54311                     4360.4651
## 1670                        59.54311                     4360.4651
## 1671                        59.54311                     4360.4651
## 1672                        59.54311                     4360.4651
## 1673                        59.54311                     4360.4651
## 1674                        59.54311                     4360.4651
## 1675                        59.54311                     4360.4651
## 1676                        59.54311                     4360.4651
## 1677                        59.54311                     4360.4651
## 1678                        59.54311                     4360.4651
## 1679                        59.54311                     4360.4651
## 1680                        59.54311                     4360.4651
## 1681                        39.67455                     1090.1163
## 1682                        39.67455                     1090.1163
## 1683                        39.67455                     1090.1163
## 1684                        39.67455                     1090.1163
## 1685                        39.67455                     1090.1163
## 1686                        39.67455                     1090.1163
## 1687                        39.67455                     1090.1163
## 1688                        39.67455                     1090.1163
## 1689                        39.67455                     1090.1163
## 1690                        39.67455                     1090.1163
## 1691                        39.67455                     1090.1163
## 1692                        39.67455                     1090.1163
## 1693                        39.67455                     1090.1163
## 1694                        39.67455                     1090.1163
## 1695                        39.67455                     1090.1163
## 1696                        39.67455                     1090.1163
## 1697                        39.67455                     1090.1163
## 1698                        39.67455                     1090.1163
## 1699                        39.67455                     1090.1163
## 1700                        39.67455                     1090.1163
## 1701                        39.67455                     1090.1163
## 1702                        39.67455                     1090.1163
## 1703                        39.67455                     1090.1163
## 1704                        39.67455                     1090.1163
## 1705                        31.70159                     2180.2326
## 1706                        31.70159                     2180.2326
## 1707                        31.70159                     2180.2326
## 1708                        31.70159                     2180.2326
## 1709                        31.70159                     2180.2326
## 1710                        31.70159                     2180.2326
## 1711                        31.70159                     2180.2326
## 1712                        31.70159                     2180.2326
## 1713                        31.70159                     2180.2326
## 1714                        31.70159                     2180.2326
## 1715                        31.70159                     2180.2326
## 1716                        31.70159                     2180.2326
## 1717                        31.70159                     2180.2326
## 1718                        31.70159                     2180.2326
## 1719                        31.70159                     2180.2326
## 1720                        31.70159                     2180.2326
## 1721                        31.70159                     2180.2326
## 1722                        31.70159                     2180.2326
## 1723                        31.70159                     2180.2326
## 1724                        31.70159                     2180.2326
## 1725                        31.70159                     2180.2326
## 1726                        31.70159                     2180.2326
## 1727                        31.70159                     2180.2326
## 1728                        31.70159                     2180.2326
## 1729                        96.92197                      217.1512
## 1730                        96.92197                      217.1512
## 1731                        96.92197                      217.1512
## 1732                        96.92197                      217.1512
## 1733                        96.92197                      217.1512
## 1734                        96.92197                      217.1512
## 1735                        96.92197                      217.1512
## 1736                        96.92197                      217.1512
## 1737                        96.92197                      217.1512
## 1738                        96.92197                      217.1512
## 1739                        96.92197                      217.1512
## 1740                        96.92197                      217.1512
## 1741                        96.92197                      217.1512
## 1742                        96.92197                      217.1512
## 1743                        96.92197                      217.1512
## 1744                        96.92197                      217.1512
## 1745                        96.92197                      217.1512
## 1746                        96.92197                      217.1512
## 1747                        96.92197                      217.1512
## 1748                        96.92197                      217.1512
## 1749                        96.92197                      217.1512
## 1750                        96.92197                      217.1512
## 1751                        96.92197                      217.1512
## 1752                        96.92197                      217.1512
## 1753                       115.04038                     1090.1163
## 1754                       115.04038                     1090.1163
## 1755                       115.04038                     1090.1163
## 1756                       115.04038                     1090.1163
## 1757                       115.04038                     1090.1163
## 1758                       115.04038                     1090.1163
## 1759                       115.04038                     1090.1163
## 1760                       115.04038                     1090.1163
## 1761                       115.04038                     1090.1163
## 1762                       115.04038                     1090.1163
## 1763                       115.04038                     1090.1163
## 1764                       115.04038                     1090.1163
## 1765                       115.04038                     1090.1163
## 1766                       115.04038                     1090.1163
## 1767                       115.04038                     1090.1163
## 1768                       115.04038                     1090.1163
## 1769                       115.04038                     1090.1163
## 1770                       115.04038                     1090.1163
## 1771                       115.04038                     1090.1163
## 1772                       115.04038                     1090.1163
## 1773                       115.04038                     1090.1163
## 1774                       115.04038                     1090.1163
## 1775                       115.04038                     1090.1163
## 1776                       115.04038                     1090.1163
## 1777                       170.95069                     2886.6279
## 1778                       170.95069                     2886.6279
## 1779                       170.95069                     2886.6279
## 1780                       170.95069                     2886.6279
## 1781                       170.95069                     2886.6279
## 1782                       170.95069                     2886.6279
## 1783                       170.95069                     2886.6279
## 1784                       170.95069                     2886.6279
## 1785                       170.95069                     2886.6279
## 1786                       170.95069                     2886.6279
## 1787                       170.95069                     2886.6279
## 1788                       170.95069                     2886.6279
## 1789                       170.95069                     2886.6279
## 1790                       170.95069                     2886.6279
## 1791                       170.95069                     2886.6279
## 1792                       170.95069                     2886.6279
## 1793                       170.95069                     2886.6279
## 1794                       170.95069                     2886.6279
## 1795                       170.95069                     2886.6279
## 1796                       170.95069                     2886.6279
## 1797                       170.95069                     2886.6279
## 1798                       170.95069                     2886.6279
## 1799                       170.95069                     2886.6279
## 1800                       170.95069                     2886.6279
## 1801                       207.04408                     2616.2791
## 1802                       207.04408                     2616.2791
## 1803                       207.04408                     2616.2791
## 1804                       207.04408                     2616.2791
## 1805                       207.04408                     2616.2791
## 1806                       207.04408                     2616.2791
## 1807                       207.04408                     2616.2791
## 1808                       207.04408                     2616.2791
## 1809                       207.04408                     2616.2791
## 1810                       207.04408                     2616.2791
## 1811                       207.04408                     2616.2791
## 1812                       207.04408                     2616.2791
## 1813                       207.04408                     2616.2791
## 1814                       207.04408                     2616.2791
## 1815                       207.04408                     2616.2791
## 1816                       207.04408                     2616.2791
## 1817                       207.04408                     2616.2791
## 1818                       207.04408                     2616.2791
## 1819                       207.04408                     2616.2791
## 1820                       207.04408                     2616.2791
## 1821                       207.04408                     2616.2791
## 1822                       207.04408                     2616.2791
## 1823                       207.04408                     2616.2791
## 1824                       207.04408                     2616.2791
## 1825                       204.76185                     1090.1163
## 1826                       204.76185                     1090.1163
## 1827                       204.76185                     1090.1163
## 1828                       204.76185                     1090.1163
## 1829                       204.76185                     1090.1163
## 1830                       204.76185                     1090.1163
## 1831                       204.76185                     1090.1163
## 1832                       204.76185                     1090.1163
## 1833                       204.76185                     1090.1163
## 1834                       204.76185                     1090.1163
## 1835                       204.76185                     1090.1163
## 1836                       204.76185                     1090.1163
## 1837                       204.76185                     1090.1163
## 1838                       204.76185                     1090.1163
## 1839                       204.76185                     1090.1163
## 1840                       204.76185                     1090.1163
## 1841                       204.76185                     1090.1163
## 1842                       204.76185                     1090.1163
## 1843                       204.76185                     1090.1163
## 1844                       204.76185                     1090.1163
## 1845                       204.76185                     1090.1163
## 1846                       204.76185                     1090.1163
## 1847                       204.76185                     1090.1163
## 1848                       204.76185                     1090.1163
## 1849                       170.47197                     2162.7907
## 1850                       170.47197                     2162.7907
## 1851                       170.47197                     2162.7907
## 1852                       170.47197                     2162.7907
## 1853                       170.47197                     2162.7907
## 1854                       170.47197                     2162.7907
## 1855                       170.47197                     2162.7907
## 1856                       170.47197                     2162.7907
## 1857                       170.47197                     2162.7907
## 1858                       170.47197                     2162.7907
## 1859                       170.47197                     2162.7907
## 1860                       170.47197                     2162.7907
## 1861                       170.47197                     2162.7907
## 1862                       170.47197                     2162.7907
## 1863                       170.47197                     2162.7907
## 1864                       170.47197                     2162.7907
## 1865                       170.47197                     2162.7907
## 1866                       170.47197                     2162.7907
## 1867                       170.47197                     2162.7907
## 1868                       170.47197                     2162.7907
## 1869                       170.47197                     2162.7907
## 1870                       170.47197                     2162.7907
## 1871                       170.47197                     2162.7907
## 1872                       170.47197                     2162.7907
## 1873                       149.52700                     4329.9419
## 1874                       149.52700                     4329.9419
## 1875                       149.52700                     4329.9419
## 1876                       149.52700                     4329.9419
## 1877                       149.52700                     4329.9419
## 1878                       149.52700                     4329.9419
## 1879                       149.52700                     4329.9419
## 1880                       149.52700                     4329.9419
## 1881                       149.52700                     4329.9419
## 1882                       149.52700                     4329.9419
## 1883                       149.52700                     4329.9419
## 1884                       149.52700                     4329.9419
## 1885                       149.52700                     4329.9419
## 1886                       149.52700                     4329.9419
## 1887                       149.52700                     4329.9419
## 1888                       149.52700                     4329.9419
## 1889                       149.52700                     4329.9419
## 1890                       149.52700                     4329.9419
## 1891                       149.52700                     4329.9419
## 1892                       149.52700                     4329.9419
## 1893                       149.52700                     4329.9419
## 1894                       149.52700                     4329.9419
## 1895                       149.52700                     4329.9419
## 1896                       149.52700                     4329.9419
## 1897                       110.26880                     3920.0581
## 1898                       110.26880                     3920.0581
## 1899                       110.26880                     3920.0581
## 1900                       110.26880                     3920.0581
## 1901                       110.26880                     3920.0581
## 1902                       110.26880                     3920.0581
## 1903                       110.26880                     3920.0581
## 1904                       110.26880                     3920.0581
## 1905                       110.26880                     3920.0581
## 1906                       110.26880                     3920.0581
## 1907                       110.26880                     3920.0581
## 1908                       110.26880                     3920.0581
## 1909                       110.26880                     3920.0581
## 1910                       110.26880                     3920.0581
## 1911                       110.26880                     3920.0581
## 1912                       110.26880                     3920.0581
## 1913                       110.26880                     3920.0581
## 1914                       110.26880                     3920.0581
## 1915                       110.26880                     3920.0581
## 1916                       110.26880                     3920.0581
## 1917                       110.26880                     3920.0581
## 1918                       110.26880                     3920.0581
## 1919                       110.26880                     3920.0581
## 1920                       110.26880                     3920.0581
## 1921                        96.92197                      217.1512
## 1922                        96.92197                      217.1512
## 1923                        96.92197                      217.1512
## 1924                        96.92197                      217.1512
## 1925                        96.92197                      217.1512
## 1926                        96.92197                      217.1512
## 1927                        96.92197                      217.1512
## 1928                        96.92197                      217.1512
## 1929                        96.92197                      217.1512
## 1930                        96.92197                      217.1512
## 1931                        96.92197                      217.1512
## 1932                        96.92197                      217.1512
## 1933                        96.92197                      217.1512
## 1934                        96.92197                      217.1512
## 1935                        96.92197                      217.1512
## 1936                        96.92197                      217.1512
## 1937                        96.92197                      217.1512
## 1938                        96.92197                      217.1512
## 1939                        96.92197                      217.1512
## 1940                        96.92197                      217.1512
## 1941                        96.92197                      217.1512
## 1942                        96.92197                      217.1512
## 1943                        96.92197                      217.1512
## 1944                        96.92197                      217.1512
## 1945                       151.39694                     1473.8372
## 1946                       151.39694                     1473.8372
## 1947                       151.39694                     1473.8372
## 1948                       151.39694                     1473.8372
## 1949                       151.39694                     1473.8372
## 1950                       151.39694                     1473.8372
## 1951                       151.39694                     1473.8372
## 1952                       151.39694                     1473.8372
## 1953                       151.39694                     1473.8372
## 1954                       151.39694                     1473.8372
## 1955                       151.39694                     1473.8372
## 1956                       151.39694                     1473.8372
## 1957                       151.39694                     1473.8372
## 1958                       151.39694                     1473.8372
## 1959                       151.39694                     1473.8372
## 1960                       151.39694                     1473.8372
## 1961                       151.39694                     1473.8372
## 1962                       151.39694                     1473.8372
## 1963                       151.39694                     1473.8372
## 1964                       151.39694                     1473.8372
## 1965                       151.39694                     1473.8372
## 1966                       151.39694                     1473.8372
## 1967                       151.39694                     1473.8372
## 1968                       151.39694                     1473.8372
## 1969                       158.17674                     2502.9070
## 1970                       158.17674                     2502.9070
## 1971                       158.17674                     2502.9070
## 1972                       158.17674                     2502.9070
## 1973                       158.17674                     2502.9070
## 1974                       158.17674                     2502.9070
## 1975                       158.17674                     2502.9070
## 1976                       158.17674                     2502.9070
## 1977                       158.17674                     2502.9070
## 1978                       158.17674                     2502.9070
## 1979                       158.17674                     2502.9070
## 1980                       158.17674                     2502.9070
## 1981                       158.17674                     2502.9070
## 1982                       158.17674                     2502.9070
## 1983                       158.17674                     2502.9070
## 1984                       158.17674                     2502.9070
## 1985                       158.17674                     2502.9070
## 1986                       158.17674                     2502.9070
## 1987                       158.17674                     2502.9070
## 1988                       158.17674                     2502.9070
## 1989                       158.17674                     2502.9070
## 1990                       158.17674                     2502.9070
## 1991                       158.17674                     2502.9070
## 1992                       158.17674                     2502.9070
## 1993                       196.58628                     3388.9535
## 1994                       196.58628                     3388.9535
## 1995                       196.58628                     3388.9535
## 1996                       196.58628                     3388.9535
## 1997                       196.58628                     3388.9535
## 1998                       196.58628                     3388.9535
## 1999                       196.58628                     3388.9535
## 2000                       196.58628                     3388.9535
## 2001                       196.58628                     3388.9535
## 2002                       196.58628                     3388.9535
## 2003                       196.58628                     3388.9535
## 2004                       196.58628                     3388.9535
## 2005                       196.58628                     3388.9535
## 2006                       196.58628                     3388.9535
## 2007                       196.58628                     3388.9535
## 2008                       196.58628                     3388.9535
## 2009                       196.58628                     3388.9535
## 2010                       196.58628                     3388.9535
## 2011                       196.58628                     3388.9535
## 2012                       196.58628                     3388.9535
## 2013                       196.58628                     3388.9535
## 2014                       196.58628                     3388.9535
## 2015                       196.58628                     3388.9535
## 2016                       196.58628                     3388.9535
## 2017                       136.02956                     3584.3023
## 2018                       136.02956                     3584.3023
## 2019                       136.02956                     3584.3023
## 2020                       136.02956                     3584.3023
## 2021                       136.02956                     3584.3023
## 2022                       136.02956                     3584.3023
## 2023                       136.02956                     3584.3023
## 2024                       136.02956                     3584.3023
## 2025                       136.02956                     3584.3023
## 2026                       136.02956                     3584.3023
## 2027                       136.02956                     3584.3023
## 2028                       136.02956                     3584.3023
## 2029                       136.02956                     3584.3023
## 2030                       136.02956                     3584.3023
## 2031                       136.02956                     3584.3023
## 2032                       136.02956                     3584.3023
## 2033                       136.02956                     3584.3023
## 2034                       136.02956                     3584.3023
## 2035                       136.02956                     3584.3023
## 2036                       136.02956                     3584.3023
## 2037                       136.02956                     3584.3023
## 2038                       136.02956                     3584.3023
## 2039                       136.02956                     3584.3023
## 2040                       136.02956                     3584.3023
## 2041                       116.45107                     3750.0000
## 2042                       116.45107                     3750.0000
## 2043                       116.45107                     3750.0000
## 2044                       116.45107                     3750.0000
## 2045                       116.45107                     3750.0000
## 2046                       116.45107                     3750.0000
## 2047                       116.45107                     3750.0000
## 2048                       116.45107                     3750.0000
## 2049                       116.45107                     3750.0000
## 2050                       116.45107                     3750.0000
## 2051                       116.45107                     3750.0000
## 2052                       116.45107                     3750.0000
## 2053                       116.45107                     3750.0000
## 2054                       116.45107                     3750.0000
## 2055                       116.45107                     3750.0000
## 2056                       116.45107                     3750.0000
## 2057                       116.45107                     3750.0000
## 2058                       116.45107                     3750.0000
## 2059                       116.45107                     3750.0000
## 2060                       116.45107                     3750.0000
## 2061                       116.45107                     3750.0000
## 2062                       116.45107                     3750.0000
## 2063                       116.45107                     3750.0000
## 2064                       116.45107                     3750.0000
## 2065                       102.05987                     2768.8953
## 2066                       102.05987                     2768.8953
## 2067                       102.05987                     2768.8953
## 2068                       102.05987                     2768.8953
## 2069                       102.05987                     2768.8953
## 2070                       102.05987                     2768.8953
## 2071                       102.05987                     2768.8953
## 2072                       102.05987                     2768.8953
## 2073                       102.05987                     2768.8953
## 2074                       102.05987                     2768.8953
## 2075                       102.05987                     2768.8953
## 2076                       102.05987                     2768.8953
## 2077                       102.05987                     2768.8953
## 2078                       102.05987                     2768.8953
## 2079                       102.05987                     2768.8953
## 2080                       102.05987                     2768.8953
## 2081                       102.05987                     2768.8953
## 2082                       102.05987                     2768.8953
## 2083                       102.05987                     2768.8953
## 2084                       102.05987                     2768.8953
## 2085                       102.05987                     2768.8953
## 2086                       102.05987                     2768.8953
## 2087                       102.05987                     2768.8953
## 2088                       102.05987                     2768.8953
## 2089                        93.36916                     1748.5465
## 2090                        93.36916                     1748.5465
## 2091                        93.36916                     1748.5465
## 2092                        93.36916                     1748.5465
## 2093                        93.36916                     1748.5465
## 2094                        93.36916                     1748.5465
## 2095                        93.36916                     1748.5465
## 2096                        93.36916                     1748.5465
## 2097                        93.36916                     1748.5465
## 2098                        93.36916                     1748.5465
## 2099                        93.36916                     1748.5465
## 2100                        93.36916                     1748.5465
## 2101                        93.36916                     1748.5465
## 2102                        93.36916                     1748.5465
## 2103                        93.36916                     1748.5465
## 2104                        93.36916                     1748.5465
## 2105                        93.36916                     1748.5465
## 2106                        93.36916                     1748.5465
## 2107                        93.36916                     1748.5465
## 2108                        93.36916                     1748.5465
## 2109                        93.36916                     1748.5465
## 2110                        93.36916                     1748.5465
## 2111                        93.36916                     1748.5465
## 2112                        93.36916                     1748.5465
## 2113                        96.92197                      217.1512
## 2114                        96.92197                      217.1512
## 2115                        96.92197                      217.1512
## 2116                        96.92197                      217.1512
## 2117                        96.92197                      217.1512
## 2118                        96.92197                      217.1512
## 2119                        96.92197                      217.1512
## 2120                        96.92197                      217.1512
## 2121                        96.92197                      217.1512
## 2122                        96.92197                      217.1512
## 2123                        96.92197                      217.1512
## 2124                        96.92197                      217.1512
## 2125                        96.92197                      217.1512
## 2126                        96.92197                      217.1512
## 2127                        96.92197                      217.1512
## 2128                        96.92197                      217.1512
## 2129                        96.92197                      217.1512
## 2130                        96.92197                      217.1512
## 2131                        96.92197                      217.1512
## 2132                        96.92197                      217.1512
## 2133                        96.92197                      217.1512
## 2134                        96.92197                      217.1512
## 2135                        96.92197                      217.1512
## 2136                        96.92197                      217.1512
## 2137                       228.26879                     5973.8372
## 2138                       228.26879                     5973.8372
## 2139                       228.26879                     5973.8372
## 2140                       228.26879                     5973.8372
## 2141                       228.26879                     5973.8372
## 2142                       228.26879                     5973.8372
## 2143                       228.26879                     5973.8372
## 2144                       228.26879                     5973.8372
## 2145                       228.26879                     5973.8372
## 2146                       228.26879                     5973.8372
## 2147                       228.26879                     5973.8372
## 2148                       228.26879                     5973.8372
## 2149                       228.26879                     5973.8372
## 2150                       228.26879                     5973.8372
## 2151                       228.26879                     5973.8372
## 2152                       228.26879                     5973.8372
## 2153                       228.26879                     5973.8372
## 2154                       228.26879                     5973.8372
## 2155                       228.26879                     5973.8372
## 2156                       228.26879                     5973.8372
## 2157                       228.26879                     5973.8372
## 2158                       228.26879                     5973.8372
## 2159                       228.26879                     5973.8372
## 2160                       228.26879                     5973.8372
## 2161                       128.33997                     3008.7209
## 2162                       128.33997                     3008.7209
## 2163                       128.33997                     3008.7209
## 2164                       128.33997                     3008.7209
## 2165                       128.33997                     3008.7209
## 2166                       128.33997                     3008.7209
## 2167                       128.33997                     3008.7209
## 2168                       128.33997                     3008.7209
## 2169                       128.33997                     3008.7209
## 2170                       128.33997                     3008.7209
## 2171                       128.33997                     3008.7209
## 2172                       128.33997                     3008.7209
## 2173                       128.33997                     3008.7209
## 2174                       128.33997                     3008.7209
## 2175                       128.33997                     3008.7209
## 2176                       128.33997                     3008.7209
## 2177                       128.33997                     3008.7209
## 2178                       128.33997                     3008.7209
## 2179                       128.33997                     3008.7209
## 2180                       128.33997                     3008.7209
## 2181                       128.33997                     3008.7209
## 2182                       128.33997                     3008.7209
## 2183                       128.33997                     3008.7209
## 2184                       128.33997                     3008.7209
## 2185                       223.90932                     4967.4419
## 2186                       223.90932                     4967.4419
## 2187                       223.90932                     4967.4419
## 2188                       223.90932                     4967.4419
## 2189                       223.90932                     4967.4419
## 2190                       223.90932                     4967.4419
## 2191                       223.90932                     4967.4419
## 2192                       223.90932                     4967.4419
## 2193                       223.90932                     4967.4419
## 2194                       223.90932                     4967.4419
## 2195                       223.90932                     4967.4419
## 2196                       223.90932                     4967.4419
## 2197                       223.90932                     4967.4419
## 2198                       223.90932                     4967.4419
## 2199                       223.90932                     4967.4419
## 2200                       223.90932                     4967.4419
## 2201                       223.90932                     4967.4419
## 2202                       223.90932                     4967.4419
## 2203                       223.90932                     4967.4419
## 2204                       223.90932                     4967.4419
## 2205                       223.90932                     4967.4419
## 2206                       223.90932                     4967.4419
## 2207                       223.90932                     4967.4419
## 2208                       223.90932                     4967.4419
## 2209                       172.69644                     3008.7209
## 2210                       172.69644                     3008.7209
## 2211                       172.69644                     3008.7209
## 2212                       172.69644                     3008.7209
## 2213                       172.69644                     3008.7209
## 2214                       172.69644                     3008.7209
## 2215                       172.69644                     3008.7209
## 2216                       172.69644                     3008.7209
## 2217                       172.69644                     3008.7209
## 2218                       172.69644                     3008.7209
## 2219                       172.69644                     3008.7209
## 2220                       172.69644                     3008.7209
## 2221                       172.69644                     3008.7209
## 2222                       172.69644                     3008.7209
## 2223                       172.69644                     3008.7209
## 2224                       172.69644                     3008.7209
## 2225                       172.69644                     3008.7209
## 2226                       172.69644                     3008.7209
## 2227                       172.69644                     3008.7209
## 2228                       172.69644                     3008.7209
## 2229                       172.69644                     3008.7209
## 2230                       172.69644                     3008.7209
## 2231                       172.69644                     3008.7209
## 2232                       172.69644                     3008.7209
## 2233                       118.59016                     2659.8837
## 2234                       118.59016                     2659.8837
## 2235                       118.59016                     2659.8837
## 2236                       118.59016                     2659.8837
## 2237                       118.59016                     2659.8837
## 2238                       118.59016                     2659.8837
## 2239                       118.59016                     2659.8837
## 2240                       118.59016                     2659.8837
## 2241                       118.59016                     2659.8837
## 2242                       118.59016                     2659.8837
## 2243                       118.59016                     2659.8837
## 2244                       118.59016                     2659.8837
## 2245                       118.59016                     2659.8837
## 2246                       118.59016                     2659.8837
## 2247                       118.59016                     2659.8837
## 2248                       118.59016                     2659.8837
## 2249                       118.59016                     2659.8837
## 2250                       118.59016                     2659.8837
## 2251                       118.59016                     2659.8837
## 2252                       118.59016                     2659.8837
## 2253                       118.59016                     2659.8837
## 2254                       118.59016                     2659.8837
## 2255                       118.59016                     2659.8837
## 2256                       118.59016                     2659.8837
## 2257                       103.83993                     4765.9884
## 2258                       103.83993                     4765.9884
## 2259                       103.83993                     4765.9884
## 2260                       103.83993                     4765.9884
## 2261                       103.83993                     4765.9884
## 2262                       103.83993                     4765.9884
## 2263                       103.83993                     4765.9884
## 2264                       103.83993                     4765.9884
## 2265                       103.83993                     4765.9884
## 2266                       103.83993                     4765.9884
## 2267                       103.83993                     4765.9884
## 2268                       103.83993                     4765.9884
## 2269                       103.83993                     4765.9884
## 2270                       103.83993                     4765.9884
## 2271                       103.83993                     4765.9884
## 2272                       103.83993                     4765.9884
## 2273                       103.83993                     4765.9884
## 2274                       103.83993                     4765.9884
## 2275                       103.83993                     4765.9884
## 2276                       103.83993                     4765.9884
## 2277                       103.83993                     4765.9884
## 2278                       103.83993                     4765.9884
## 2279                       103.83993                     4765.9884
## 2280                       103.83993                     4765.9884
## 2281                        71.13194                     2376.4535
## 2282                        71.13194                     2376.4535
## 2283                        71.13194                     2376.4535
## 2284                        71.13194                     2376.4535
## 2285                        71.13194                     2376.4535
## 2286                        71.13194                     2376.4535
## 2287                        71.13194                     2376.4535
## 2288                        71.13194                     2376.4535
## 2289                        71.13194                     2376.4535
## 2290                        71.13194                     2376.4535
## 2291                        71.13194                     2376.4535
## 2292                        71.13194                     2376.4535
## 2293                        71.13194                     2376.4535
## 2294                        71.13194                     2376.4535
## 2295                        71.13194                     2376.4535
## 2296                        71.13194                     2376.4535
## 2297                        71.13194                     2376.4535
## 2298                        71.13194                     2376.4535
## 2299                        71.13194                     2376.4535
## 2300                        71.13194                     2376.4535
## 2301                        71.13194                     2376.4535
## 2302                        71.13194                     2376.4535
## 2303                        71.13194                     2376.4535
## 2304                        71.13194                     2376.4535
## 2305                        96.92197                      217.1512
## 2306                        96.92197                      217.1512
## 2307                        96.92197                      217.1512
## 2308                        96.92197                      217.1512
## 2309                        96.92197                      217.1512
## 2310                        96.92197                      217.1512
## 2311                        96.92197                      217.1512
## 2312                        96.92197                      217.1512
## 2313                        96.92197                      217.1512
## 2314                        96.92197                      217.1512
## 2315                        96.92197                      217.1512
## 2316                        96.92197                      217.1512
## 2317                        96.92197                      217.1512
## 2318                        96.92197                      217.1512
## 2319                        96.92197                      217.1512
## 2320                        96.92197                      217.1512
## 2321                        96.92197                      217.1512
## 2322                        96.92197                      217.1512
## 2323                        96.92197                      217.1512
## 2324                        96.92197                      217.1512
## 2325                        96.92197                      217.1512
## 2326                        96.92197                      217.1512
## 2327                        96.92197                      217.1512
## 2328                        96.92197                      217.1512
## 2329                       182.98473                     3924.4186
## 2330                       182.98473                     3924.4186
## 2331                       182.98473                     3924.4186
## 2332                       182.98473                     3924.4186
## 2333                       182.98473                     3924.4186
## 2334                       182.98473                     3924.4186
## 2335                       182.98473                     3924.4186
## 2336                       182.98473                     3924.4186
## 2337                       182.98473                     3924.4186
## 2338                       182.98473                     3924.4186
## 2339                       182.98473                     3924.4186
## 2340                       182.98473                     3924.4186
## 2341                       182.98473                     3924.4186
## 2342                       182.98473                     3924.4186
## 2343                       182.98473                     3924.4186
## 2344                       182.98473                     3924.4186
## 2345                       182.98473                     3924.4186
## 2346                       182.98473                     3924.4186
## 2347                       182.98473                     3924.4186
## 2348                       182.98473                     3924.4186
## 2349                       182.98473                     3924.4186
## 2350                       182.98473                     3924.4186
## 2351                       182.98473                     3924.4186
## 2352                       182.98473                     3924.4186
## 2353                       178.56595                     3819.7674
## 2354                       178.56595                     3819.7674
## 2355                       178.56595                     3819.7674
## 2356                       178.56595                     3819.7674
## 2357                       178.56595                     3819.7674
## 2358                       178.56595                     3819.7674
## 2359                       178.56595                     3819.7674
## 2360                       178.56595                     3819.7674
## 2361                       178.56595                     3819.7674
## 2362                       178.56595                     3819.7674
## 2363                       178.56595                     3819.7674
## 2364                       178.56595                     3819.7674
## 2365                       178.56595                     3819.7674
## 2366                       178.56595                     3819.7674
## 2367                       178.56595                     3819.7674
## 2368                       178.56595                     3819.7674
## 2369                       178.56595                     3819.7674
## 2370                       178.56595                     3819.7674
## 2371                       178.56595                     3819.7674
## 2372                       178.56595                     3819.7674
## 2373                       178.56595                     3819.7674
## 2374                       178.56595                     3819.7674
## 2375                       178.56595                     3819.7674
## 2376                       178.56595                     3819.7674
## 2377                       155.63806                     4705.8140
## 2378                       155.63806                     4705.8140
## 2379                       155.63806                     4705.8140
## 2380                       155.63806                     4705.8140
## 2381                       155.63806                     4705.8140
## 2382                       155.63806                     4705.8140
## 2383                       155.63806                     4705.8140
## 2384                       155.63806                     4705.8140
## 2385                       155.63806                     4705.8140
## 2386                       155.63806                     4705.8140
## 2387                       155.63806                     4705.8140
## 2388                       155.63806                     4705.8140
## 2389                       155.63806                     4705.8140
## 2390                       155.63806                     4705.8140
## 2391                       155.63806                     4705.8140
## 2392                       155.63806                     4705.8140
## 2393                       155.63806                     4705.8140
## 2394                       155.63806                     4705.8140
## 2395                       155.63806                     4705.8140
## 2396                       155.63806                     4705.8140
## 2397                       155.63806                     4705.8140
## 2398                       155.63806                     4705.8140
## 2399                       155.63806                     4705.8140
## 2400                       155.63806                     4705.8140
## 2401                       151.89425                     5345.9302
## 2402                       151.89425                     5345.9302
## 2403                       151.89425                     5345.9302
## 2404                       151.89425                     5345.9302
## 2405                       151.89425                     5345.9302
## 2406                       151.89425                     5345.9302
## 2407                       151.89425                     5345.9302
## 2408                       151.89425                     5345.9302
## 2409                       151.89425                     5345.9302
## 2410                       151.89425                     5345.9302
## 2411                       151.89425                     5345.9302
## 2412                       151.89425                     5345.9302
## 2413                       151.89425                     5345.9302
## 2414                       151.89425                     5345.9302
## 2415                       151.89425                     5345.9302
## 2416                       151.89425                     5345.9302
## 2417                       151.89425                     5345.9302
## 2418                       151.89425                     5345.9302
## 2419                       151.89425                     5345.9302
## 2420                       151.89425                     5345.9302
## 2421                       151.89425                     5345.9302
## 2422                       151.89425                     5345.9302
## 2423                       151.89425                     5345.9302
## 2424                       151.89425                     5345.9302
## 2425                       139.29522                     7709.3023
## 2426                       139.29522                     7709.3023
## 2427                       139.29522                     7709.3023
## 2428                       139.29522                     7709.3023
## 2429                       139.29522                     7709.3023
## 2430                       139.29522                     7709.3023
## 2431                       139.29522                     7709.3023
## 2432                       139.29522                     7709.3023
## 2433                       139.29522                     7709.3023
## 2434                       139.29522                     7709.3023
## 2435                       139.29522                     7709.3023
## 2436                       139.29522                     7709.3023
## 2437                       139.29522                     7709.3023
## 2438                       139.29522                     7709.3023
## 2439                       139.29522                     7709.3023
## 2440                       139.29522                     7709.3023
## 2441                       139.29522                     7709.3023
## 2442                       139.29522                     7709.3023
## 2443                       139.29522                     7709.3023
## 2444                       139.29522                     7709.3023
## 2445                       139.29522                     7709.3023
## 2446                       139.29522                     7709.3023
## 2447                       139.29522                     7709.3023
## 2448                       139.29522                     7709.3023
## 2449                        98.85688                     3553.7791
## 2450                        98.85688                     3553.7791
## 2451                        98.85688                     3553.7791
## 2452                        98.85688                     3553.7791
## 2453                        98.85688                     3553.7791
## 2454                        98.85688                     3553.7791
## 2455                        98.85688                     3553.7791
## 2456                        98.85688                     3553.7791
## 2457                        98.85688                     3553.7791
## 2458                        98.85688                     3553.7791
## 2459                        98.85688                     3553.7791
## 2460                        98.85688                     3553.7791
## 2461                        98.85688                     3553.7791
## 2462                        98.85688                     3553.7791
## 2463                        98.85688                     3553.7791
## 2464                        98.85688                     3553.7791
## 2465                        98.85688                     3553.7791
## 2466                        98.85688                     3553.7791
## 2467                        98.85688                     3553.7791
## 2468                        98.85688                     3553.7791
## 2469                        98.85688                     3553.7791
## 2470                        98.85688                     3553.7791
## 2471                        98.85688                     3553.7791
## 2472                        98.85688                     3553.7791
## 2473                       141.87810                     2180.2326
## 2474                       141.87810                     2180.2326
## 2475                       141.87810                     2180.2326
## 2476                       141.87810                     2180.2326
## 2477                       141.87810                     2180.2326
## 2478                       141.87810                     2180.2326
## 2479                       141.87810                     2180.2326
## 2480                       141.87810                     2180.2326
## 2481                       141.87810                     2180.2326
## 2482                       141.87810                     2180.2326
## 2483                       141.87810                     2180.2326
## 2484                       141.87810                     2180.2326
## 2485                       141.87810                     2180.2326
## 2486                       141.87810                     2180.2326
## 2487                       141.87810                     2180.2326
## 2488                       141.87810                     2180.2326
## 2489                       141.87810                     2180.2326
## 2490                       141.87810                     2180.2326
## 2491                       141.87810                     2180.2326
## 2492                       141.87810                     2180.2326
## 2493                       141.87810                     2180.2326
## 2494                       141.87810                     2180.2326
## 2495                       141.87810                     2180.2326
## 2496                       141.87810                     2180.2326
## 2497                        96.92197                      217.1512
## 2498                        96.92197                      217.1512
## 2499                        96.92197                      217.1512
## 2500                        96.92197                      217.1512
## 2501                        96.92197                      217.1512
## 2502                        96.92197                      217.1512
## 2503                        96.92197                      217.1512
## 2504                        96.92197                      217.1512
## 2505                        96.92197                      217.1512
## 2506                        96.92197                      217.1512
## 2507                        96.92197                      217.1512
## 2508                        96.92197                      217.1512
## 2509                        96.92197                      217.1512
## 2510                        96.92197                      217.1512
## 2511                        96.92197                      217.1512
## 2512                        96.92197                      217.1512
## 2513                        96.92197                      217.1512
## 2514                        96.92197                      217.1512
## 2515                        96.92197                      217.1512
## 2516                        96.92197                      217.1512
## 2517                        96.92197                      217.1512
## 2518                        96.92197                      217.1512
## 2519                        96.92197                      217.1512
## 2520                        96.92197                      217.1512
## 2521                       114.40392                     1744.1860
## 2522                       114.40392                     1744.1860
## 2523                       114.40392                     1744.1860
## 2524                       114.40392                     1744.1860
## 2525                       114.40392                     1744.1860
## 2526                       114.40392                     1744.1860
## 2527                       114.40392                     1744.1860
## 2528                       114.40392                     1744.1860
## 2529                       114.40392                     1744.1860
## 2530                       114.40392                     1744.1860
## 2531                       114.40392                     1744.1860
## 2532                       114.40392                     1744.1860
## 2533                       114.40392                     1744.1860
## 2534                       114.40392                     1744.1860
## 2535                       114.40392                     1744.1860
## 2536                       114.40392                     1744.1860
## 2537                       114.40392                     1744.1860
## 2538                       114.40392                     1744.1860
## 2539                       114.40392                     1744.1860
## 2540                       114.40392                     1744.1860
## 2541                       114.40392                     1744.1860
## 2542                       114.40392                     1744.1860
## 2543                       114.40392                     1744.1860
## 2544                       114.40392                     1744.1860
## 2545                       156.49181                     1412.7907
## 2546                       156.49181                     1412.7907
## 2547                       156.49181                     1412.7907
## 2548                       156.49181                     1412.7907
## 2549                       156.49181                     1412.7907
## 2550                       156.49181                     1412.7907
## 2551                       156.49181                     1412.7907
## 2552                       156.49181                     1412.7907
## 2553                       156.49181                     1412.7907
## 2554                       156.49181                     1412.7907
## 2555                       156.49181                     1412.7907
## 2556                       156.49181                     1412.7907
## 2557                       156.49181                     1412.7907
## 2558                       156.49181                     1412.7907
## 2559                       156.49181                     1412.7907
## 2560                       156.49181                     1412.7907
## 2561                       156.49181                     1412.7907
## 2562                       156.49181                     1412.7907
## 2563                       156.49181                     1412.7907
## 2564                       156.49181                     1412.7907
## 2565                       156.49181                     1412.7907
## 2566                       156.49181                     1412.7907
## 2567                       156.49181                     1412.7907
## 2568                       156.49181                     1412.7907
## 2569                       112.16981                     2612.7907
## 2570                       112.16981                     2612.7907
## 2571                       112.16981                     2612.7907
## 2572                       112.16981                     2612.7907
## 2573                       112.16981                     2612.7907
## 2574                       112.16981                     2612.7907
## 2575                       112.16981                     2612.7907
## 2576                       112.16981                     2612.7907
## 2577                       112.16981                     2612.7907
## 2578                       112.16981                     2612.7907
## 2579                       112.16981                     2612.7907
## 2580                       112.16981                     2612.7907
## 2581                       112.16981                     2612.7907
## 2582                       112.16981                     2612.7907
## 2583                       112.16981                     2612.7907
## 2584                       112.16981                     2612.7907
## 2585                       112.16981                     2612.7907
## 2586                       112.16981                     2612.7907
## 2587                       112.16981                     2612.7907
## 2588                       112.16981                     2612.7907
## 2589                       112.16981                     2612.7907
## 2590                       112.16981                     2612.7907
## 2591                       112.16981                     2612.7907
## 2592                       112.16981                     2612.7907
## 2593                       151.62447                     3680.2326
## 2594                       151.62447                     3680.2326
## 2595                       151.62447                     3680.2326
## 2596                       151.62447                     3680.2326
## 2597                       151.62447                     3680.2326
## 2598                       151.62447                     3680.2326
## 2599                       151.62447                     3680.2326
## 2600                       151.62447                     3680.2326
## 2601                       151.62447                     3680.2326
## 2602                       151.62447                     3680.2326
## 2603                       151.62447                     3680.2326
## 2604                       151.62447                     3680.2326
## 2605                       151.62447                     3680.2326
## 2606                       151.62447                     3680.2326
## 2607                       151.62447                     3680.2326
## 2608                       151.62447                     3680.2326
## 2609                       151.62447                     3680.2326
## 2610                       151.62447                     3680.2326
## 2611                       151.62447                     3680.2326
## 2612                       151.62447                     3680.2326
## 2613                       151.62447                     3680.2326
## 2614                       151.62447                     3680.2326
## 2615                       151.62447                     3680.2326
## 2616                       151.62447                     3680.2326
## 2617                        59.47007                     4360.4651
## 2618                        59.47007                     4360.4651
## 2619                        59.47007                     4360.4651
## 2620                        59.47007                     4360.4651
## 2621                        59.47007                     4360.4651
## 2622                        59.47007                     4360.4651
## 2623                        59.47007                     4360.4651
## 2624                        59.47007                     4360.4651
## 2625                        59.47007                     4360.4651
## 2626                        59.47007                     4360.4651
## 2627                        59.47007                     4360.4651
## 2628                        59.47007                     4360.4651
## 2629                        59.47007                     4360.4651
## 2630                        59.47007                     4360.4651
## 2631                        59.47007                     4360.4651
##      total_metaecosystem_Cep_indiv total_metaecosystem_Col_indiv
## 1                         1794.767                    4812.20930
## 2                         1794.767                    4812.20930
## 3                         1794.767                    4812.20930
## 4                         1794.767                    4812.20930
## 5                         1794.767                    4812.20930
## 6                         1794.767                    4812.20930
## 7                         1794.767                    4812.20930
## 8                         1794.767                    4812.20930
## 9                         1794.767                    4812.20930
## 10                        1794.767                    4812.20930
## 11                        1794.767                    4812.20930
## 12                        1794.767                    4812.20930
## 13                        1794.767                    4812.20930
## 14                        1794.767                    4812.20930
## 15                        1794.767                    4812.20930
## 16                        1794.767                    4812.20930
## 17                        1794.767                    4812.20930
## 18                        1794.767                    4812.20930
## 19                        1794.767                    4812.20930
## 20                        1794.767                    4812.20930
## 21                        1794.767                    4812.20930
## 22                        1794.767                    4812.20930
## 23                        1794.767                    4812.20930
## 24                        1794.767                    4812.20930
## 25                        8056.395                   20305.81395
## 26                        8056.395                   20305.81395
## 27                        8056.395                   20305.81395
## 28                        8056.395                   20305.81395
## 29                        8056.395                   20305.81395
## 30                        8056.395                   20305.81395
## 31                        8056.395                   20305.81395
## 32                        8056.395                   20305.81395
## 33                        8056.395                   20305.81395
## 34                        8056.395                   20305.81395
## 35                        8056.395                   20305.81395
## 36                        8056.395                   20305.81395
## 37                        8056.395                   20305.81395
## 38                        8056.395                   20305.81395
## 39                        8056.395                   20305.81395
## 40                        8056.395                   20305.81395
## 41                        8056.395                   20305.81395
## 42                        8056.395                   20305.81395
## 43                        8056.395                   20305.81395
## 44                        8056.395                   20305.81395
## 45                        8056.395                   20305.81395
## 46                        8056.395                   20305.81395
## 47                        8056.395                   20305.81395
## 48                        8056.395                   20305.81395
## 49                       11759.302                   16356.97674
## 50                       11759.302                   16356.97674
## 51                       11759.302                   16356.97674
## 52                       11759.302                   16356.97674
## 53                       11759.302                   16356.97674
## 54                       11759.302                   16356.97674
## 55                       11759.302                   16356.97674
## 56                       11759.302                   16356.97674
## 57                       11759.302                   16356.97674
## 58                       11759.302                   16356.97674
## 59                       11759.302                   16356.97674
## 60                       11759.302                   16356.97674
## 61                       11759.302                   16356.97674
## 62                       11759.302                   16356.97674
## 63                       11759.302                   16356.97674
## 64                       11759.302                   16356.97674
## 65                       11759.302                   16356.97674
## 66                       11759.302                   16356.97674
## 67                       11759.302                   16356.97674
## 68                       11759.302                   16356.97674
## 69                       11759.302                   16356.97674
## 70                       11759.302                   16356.97674
## 71                       11759.302                   16356.97674
## 72                       11759.302                   16356.97674
## 73                        6552.907                    6973.25581
## 74                        6552.907                    6973.25581
## 75                        6552.907                    6973.25581
## 76                        6552.907                    6973.25581
## 77                        6552.907                    6973.25581
## 78                        6552.907                    6973.25581
## 79                        6552.907                    6973.25581
## 80                        6552.907                    6973.25581
## 81                        6552.907                    6973.25581
## 82                        6552.907                    6973.25581
## 83                        6552.907                    6973.25581
## 84                        6552.907                    6973.25581
## 85                        6552.907                    6973.25581
## 86                        6552.907                    6973.25581
## 87                        6552.907                    6973.25581
## 88                        6552.907                    6973.25581
## 89                        6552.907                    6973.25581
## 90                        6552.907                    6973.25581
## 91                        6552.907                    6973.25581
## 92                        6552.907                    6973.25581
## 93                        6552.907                    6973.25581
## 94                        6552.907                    6973.25581
## 95                        6552.907                    6973.25581
## 96                        6552.907                    6973.25581
## 97                        9326.163                    3912.20930
## 98                        9326.163                    3912.20930
## 99                        9326.163                    3912.20930
## 100                       9326.163                    3912.20930
## 101                       9326.163                    3912.20930
## 102                       9326.163                    3912.20930
## 103                       9326.163                    3912.20930
## 104                       9326.163                    3912.20930
## 105                       9326.163                    3912.20930
## 106                       9326.163                    3912.20930
## 107                       9326.163                    3912.20930
## 108                       9326.163                    3912.20930
## 109                       9326.163                    3912.20930
## 110                       9326.163                    3912.20930
## 111                       9326.163                    3912.20930
## 112                       9326.163                    3912.20930
## 113                       9326.163                    3912.20930
## 114                       9326.163                    3912.20930
## 115                       9326.163                    3912.20930
## 116                       9326.163                    3912.20930
## 117                       9326.163                    3912.20930
## 118                       9326.163                    3912.20930
## 119                       9326.163                    3912.20930
## 120                       9326.163                    3912.20930
## 121                       9818.023                       0.00000
## 122                       9818.023                       0.00000
## 123                       9818.023                       0.00000
## 124                       9818.023                       0.00000
## 125                       9818.023                       0.00000
## 126                       9818.023                       0.00000
## 127                       9818.023                       0.00000
## 128                       9818.023                       0.00000
## 129                       9818.023                       0.00000
## 130                       9818.023                       0.00000
## 131                       9818.023                       0.00000
## 132                       9818.023                       0.00000
## 133                       9818.023                       0.00000
## 134                       9818.023                       0.00000
## 135                       9818.023                       0.00000
## 136                       9818.023                       0.00000
## 137                       9818.023                       0.00000
## 138                       9818.023                       0.00000
## 139                       9818.023                       0.00000
## 140                       9818.023                       0.00000
## 141                       9818.023                       0.00000
## 142                       9818.023                       0.00000
## 143                       9818.023                       0.00000
## 144                       9818.023                       0.00000
## 145                      15800.581                     418.60465
## 146                      15800.581                     418.60465
## 147                      15800.581                     418.60465
## 148                      15800.581                     418.60465
## 149                      15800.581                     418.60465
## 150                      15800.581                     418.60465
## 151                      15800.581                     418.60465
## 152                      15800.581                     418.60465
## 153                      15800.581                     418.60465
## 154                      15800.581                     418.60465
## 155                      15800.581                     418.60465
## 156                      15800.581                     418.60465
## 157                      15800.581                     418.60465
## 158                      15800.581                     418.60465
## 159                      15800.581                     418.60465
## 160                      15800.581                     418.60465
## 161                      15800.581                     418.60465
## 162                      15800.581                     418.60465
## 163                      15800.581                     418.60465
## 164                      15800.581                     418.60465
## 165                      15800.581                     418.60465
## 166                      15800.581                     418.60465
## 167                      15800.581                     418.60465
## 168                      15800.581                     418.60465
## 169                      15422.093                       0.00000
## 170                      15422.093                       0.00000
## 171                      15422.093                       0.00000
## 172                      15422.093                       0.00000
## 173                      15422.093                       0.00000
## 174                      15422.093                       0.00000
## 175                      15422.093                       0.00000
## 176                      15422.093                       0.00000
## 177                      15422.093                       0.00000
## 178                      15422.093                       0.00000
## 179                      15422.093                       0.00000
## 180                      15422.093                       0.00000
## 181                      15422.093                       0.00000
## 182                      15422.093                       0.00000
## 183                      15422.093                       0.00000
## 184                      15422.093                       0.00000
## 185                      15422.093                       0.00000
## 186                      15422.093                       0.00000
## 187                      15422.093                       0.00000
## 188                      15422.093                       0.00000
## 189                      15422.093                       0.00000
## 190                      15422.093                       0.00000
## 191                      15422.093                       0.00000
## 192                      15422.093                       0.00000
## 193                       1794.767                    4812.20930
## 194                       1794.767                    4812.20930
## 195                       1794.767                    4812.20930
## 196                       1794.767                    4812.20930
## 197                       1794.767                    4812.20930
## 198                       1794.767                    4812.20930
## 199                       1794.767                    4812.20930
## 200                       1794.767                    4812.20930
## 201                       1794.767                    4812.20930
## 202                       1794.767                    4812.20930
## 203                       1794.767                    4812.20930
## 204                       1794.767                    4812.20930
## 205                       1794.767                    4812.20930
## 206                       1794.767                    4812.20930
## 207                       1794.767                    4812.20930
## 208                       1794.767                    4812.20930
## 209                       1794.767                    4812.20930
## 210                       1794.767                    4812.20930
## 211                       1794.767                    4812.20930
## 212                       1794.767                    4812.20930
## 213                       1794.767                    4812.20930
## 214                       1794.767                    4812.20930
## 215                       1794.767                    4812.20930
## 216                       1794.767                    4812.20930
## 217                       9695.930                   12404.65116
## 218                       9695.930                   12404.65116
## 219                       9695.930                   12404.65116
## 220                       9695.930                   12404.65116
## 221                       9695.930                   12404.65116
## 222                       9695.930                   12404.65116
## 223                       9695.930                   12404.65116
## 224                       9695.930                   12404.65116
## 225                       9695.930                   12404.65116
## 226                       9695.930                   12404.65116
## 227                       9695.930                   12404.65116
## 228                       9695.930                   12404.65116
## 229                       9695.930                   12404.65116
## 230                       9695.930                   12404.65116
## 231                       9695.930                   12404.65116
## 232                       9695.930                   12404.65116
## 233                       9695.930                   12404.65116
## 234                       9695.930                   12404.65116
## 235                       9695.930                   12404.65116
## 236                       9695.930                   12404.65116
## 237                       9695.930                   12404.65116
## 238                       9695.930                   12404.65116
## 239                       9695.930                   12404.65116
## 240                       9695.930                   12404.65116
## 241                      12648.837                    5159.30233
## 242                      12648.837                    5159.30233
## 243                      12648.837                    5159.30233
## 244                      12648.837                    5159.30233
## 245                      12648.837                    5159.30233
## 246                      12648.837                    5159.30233
## 247                      12648.837                    5159.30233
## 248                      12648.837                    5159.30233
## 249                      12648.837                    5159.30233
## 250                      12648.837                    5159.30233
## 251                      12648.837                    5159.30233
## 252                      12648.837                    5159.30233
## 253                      12648.837                    5159.30233
## 254                      12648.837                    5159.30233
## 255                      12648.837                    5159.30233
## 256                      12648.837                    5159.30233
## 257                      12648.837                    5159.30233
## 258                      12648.837                    5159.30233
## 259                      12648.837                    5159.30233
## 260                      12648.837                    5159.30233
## 261                      12648.837                    5159.30233
## 262                      12648.837                    5159.30233
## 263                      12648.837                    5159.30233
## 264                      12648.837                    5159.30233
## 265                      14872.674                    3685.46512
## 266                      14872.674                    3685.46512
## 267                      14872.674                    3685.46512
## 268                      14872.674                    3685.46512
## 269                      14872.674                    3685.46512
## 270                      14872.674                    3685.46512
## 271                      14872.674                    3685.46512
## 272                      14872.674                    3685.46512
## 273                      14872.674                    3685.46512
## 274                      14872.674                    3685.46512
## 275                      14872.674                    3685.46512
## 276                      14872.674                    3685.46512
## 277                      14872.674                    3685.46512
## 278                      14872.674                    3685.46512
## 279                      14872.674                    3685.46512
## 280                      14872.674                    3685.46512
## 281                      14872.674                    3685.46512
## 282                      14872.674                    3685.46512
## 283                      14872.674                    3685.46512
## 284                      14872.674                    3685.46512
## 285                      14872.674                    3685.46512
## 286                      14872.674                    3685.46512
## 287                      14872.674                    3685.46512
## 288                      14872.674                    3685.46512
## 289                      13006.395                     397.67442
## 290                      13006.395                     397.67442
## 291                      13006.395                     397.67442
## 292                      13006.395                     397.67442
## 293                      13006.395                     397.67442
## 294                      13006.395                     397.67442
## 295                      13006.395                     397.67442
## 296                      13006.395                     397.67442
## 297                      13006.395                     397.67442
## 298                      13006.395                     397.67442
## 299                      13006.395                     397.67442
## 300                      13006.395                     397.67442
## 301                      13006.395                     397.67442
## 302                      13006.395                     397.67442
## 303                      13006.395                     397.67442
## 304                      13006.395                     397.67442
## 305                      13006.395                     397.67442
## 306                      13006.395                     397.67442
## 307                      13006.395                     397.67442
## 308                      13006.395                     397.67442
## 309                      13006.395                     397.67442
## 310                      13006.395                     397.67442
## 311                      13006.395                     397.67442
## 312                      13006.395                     397.67442
## 313                       8248.256                     837.20930
## 314                       8248.256                     837.20930
## 315                       8248.256                     837.20930
## 316                       8248.256                     837.20930
## 317                       8248.256                     837.20930
## 318                       8248.256                     837.20930
## 319                       8248.256                     837.20930
## 320                       8248.256                     837.20930
## 321                       8248.256                     837.20930
## 322                       8248.256                     837.20930
## 323                       8248.256                     837.20930
## 324                       8248.256                     837.20930
## 325                       8248.256                     837.20930
## 326                       8248.256                     837.20930
## 327                       8248.256                     837.20930
## 328                       8248.256                     837.20930
## 329                       8248.256                     837.20930
## 330                       8248.256                     837.20930
## 331                       8248.256                     837.20930
## 332                       8248.256                     837.20930
## 333                       8248.256                     837.20930
## 334                       8248.256                     837.20930
## 335                       8248.256                     837.20930
## 336                       8248.256                     837.20930
## 337                      12547.674                       0.00000
## 338                      12547.674                       0.00000
## 339                      12547.674                       0.00000
## 340                      12547.674                       0.00000
## 341                      12547.674                       0.00000
## 342                      12547.674                       0.00000
## 343                      12547.674                       0.00000
## 344                      12547.674                       0.00000
## 345                      12547.674                       0.00000
## 346                      12547.674                       0.00000
## 347                      12547.674                       0.00000
## 348                      12547.674                       0.00000
## 349                      12547.674                       0.00000
## 350                      12547.674                       0.00000
## 351                      12547.674                       0.00000
## 352                      12547.674                       0.00000
## 353                      12547.674                       0.00000
## 354                      12547.674                       0.00000
## 355                      12547.674                       0.00000
## 356                      12547.674                       0.00000
## 357                      12547.674                       0.00000
## 358                      12547.674                       0.00000
## 359                      12547.674                       0.00000
## 360                      12547.674                       0.00000
## 361                      10438.081                       0.00000
## 362                      10438.081                       0.00000
## 363                      10438.081                       0.00000
## 364                      10438.081                       0.00000
## 365                      10438.081                       0.00000
## 366                      10438.081                       0.00000
## 367                      10438.081                       0.00000
## 368                      10438.081                       0.00000
## 369                      10438.081                       0.00000
## 370                      10438.081                       0.00000
## 371                      10438.081                       0.00000
## 372                      10438.081                       0.00000
## 373                      10438.081                       0.00000
## 374                      10438.081                       0.00000
## 375                      10438.081                       0.00000
## 376                      10438.081                       0.00000
## 377                      10438.081                       0.00000
## 378                      10438.081                       0.00000
## 379                      10438.081                       0.00000
## 380                      10438.081                       0.00000
## 381                      10438.081                       0.00000
## 382                      10438.081                       0.00000
## 383                      10438.081                       0.00000
## 384                      10438.081                       0.00000
## 385                       1794.767                    4812.20930
## 386                       1794.767                    4812.20930
## 387                       1794.767                    4812.20930
## 388                       1794.767                    4812.20930
## 389                       1794.767                    4812.20930
## 390                       1794.767                    4812.20930
## 391                       1794.767                    4812.20930
## 392                       1794.767                    4812.20930
## 393                       1794.767                    4812.20930
## 394                       1794.767                    4812.20930
## 395                       1794.767                    4812.20930
## 396                       1794.767                    4812.20930
## 397                       1794.767                    4812.20930
## 398                       1794.767                    4812.20930
## 399                       1794.767                    4812.20930
## 400                       1794.767                    4812.20930
## 401                       1794.767                    4812.20930
## 402                       1794.767                    4812.20930
## 403                       1794.767                    4812.20930
## 404                       1794.767                    4812.20930
## 405                       1794.767                    4812.20930
## 406                       1794.767                    4812.20930
## 407                       1794.767                    4812.20930
## 408                       1794.767                    4812.20930
## 409                       8344.186                   17236.04651
## 410                       8344.186                   17236.04651
## 411                       8344.186                   17236.04651
## 412                       8344.186                   17236.04651
## 413                       8344.186                   17236.04651
## 414                       8344.186                   17236.04651
## 415                       8344.186                   17236.04651
## 416                       8344.186                   17236.04651
## 417                       8344.186                   17236.04651
## 418                       8344.186                   17236.04651
## 419                       8344.186                   17236.04651
## 420                       8344.186                   17236.04651
## 421                       8344.186                   17236.04651
## 422                       8344.186                   17236.04651
## 423                       8344.186                   17236.04651
## 424                       8344.186                   17236.04651
## 425                       8344.186                   17236.04651
## 426                       8344.186                   17236.04651
## 427                       8344.186                   17236.04651
## 428                       8344.186                   17236.04651
## 429                       8344.186                   17236.04651
## 430                       8344.186                   17236.04651
## 431                       8344.186                   17236.04651
## 432                       8344.186                   17236.04651
## 433                      12762.209                    6022.67442
## 434                      12762.209                    6022.67442
## 435                      12762.209                    6022.67442
## 436                      12762.209                    6022.67442
## 437                      12762.209                    6022.67442
## 438                      12762.209                    6022.67442
## 439                      12762.209                    6022.67442
## 440                      12762.209                    6022.67442
## 441                      12762.209                    6022.67442
## 442                      12762.209                    6022.67442
## 443                      12762.209                    6022.67442
## 444                      12762.209                    6022.67442
## 445                      12762.209                    6022.67442
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## 1872                      8005.814                     286.04651
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## 1917                     16006.395                       0.00000
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## 1920                     16006.395                       0.00000
## 1921                      1794.767                    4812.20930
## 1922                      1794.767                    4812.20930
## 1923                      1794.767                    4812.20930
## 1924                      1794.767                    4812.20930
## 1925                      1794.767                    4812.20930
## 1926                      1794.767                    4812.20930
## 1927                      1794.767                    4812.20930
## 1928                      1794.767                    4812.20930
## 1929                      1794.767                    4812.20930
## 1930                      1794.767                    4812.20930
## 1931                      1794.767                    4812.20930
## 1932                      1794.767                    4812.20930
## 1933                      1794.767                    4812.20930
## 1934                      1794.767                    4812.20930
## 1935                      1794.767                    4812.20930
## 1936                      1794.767                    4812.20930
## 1937                      1794.767                    4812.20930
## 1938                      1794.767                    4812.20930
## 1939                      1794.767                    4812.20930
## 1940                      1794.767                    4812.20930
## 1941                      1794.767                    4812.20930
## 1942                      1794.767                    4812.20930
## 1943                      1794.767                    4812.20930
## 1944                      1794.767                    4812.20930
## 1945                      7573.256                   19557.55814
## 1946                      7573.256                   19557.55814
## 1947                      7573.256                   19557.55814
## 1948                      7573.256                   19557.55814
## 1949                      7573.256                   19557.55814
## 1950                      7573.256                   19557.55814
## 1951                      7573.256                   19557.55814
## 1952                      7573.256                   19557.55814
## 1953                      7573.256                   19557.55814
## 1954                      7573.256                   19557.55814
## 1955                      7573.256                   19557.55814
## 1956                      7573.256                   19557.55814
## 1957                      7573.256                   19557.55814
## 1958                      7573.256                   19557.55814
## 1959                      7573.256                   19557.55814
## 1960                      7573.256                   19557.55814
## 1961                      7573.256                   19557.55814
## 1962                      7573.256                   19557.55814
## 1963                      7573.256                   19557.55814
## 1964                      7573.256                   19557.55814
## 1965                      7573.256                   19557.55814
## 1966                      7573.256                   19557.55814
## 1967                      7573.256                   19557.55814
## 1968                      7573.256                   19557.55814
## 1969                     11834.302                   16130.23256
## 1970                     11834.302                   16130.23256
## 1971                     11834.302                   16130.23256
## 1972                     11834.302                   16130.23256
## 1973                     11834.302                   16130.23256
## 1974                     11834.302                   16130.23256
## 1975                     11834.302                   16130.23256
## 1976                     11834.302                   16130.23256
## 1977                     11834.302                   16130.23256
## 1978                     11834.302                   16130.23256
## 1979                     11834.302                   16130.23256
## 1980                     11834.302                   16130.23256
## 1981                     11834.302                   16130.23256
## 1982                     11834.302                   16130.23256
## 1983                     11834.302                   16130.23256
## 1984                     11834.302                   16130.23256
## 1985                     11834.302                   16130.23256
## 1986                     11834.302                   16130.23256
## 1987                     11834.302                   16130.23256
## 1988                     11834.302                   16130.23256
## 1989                     11834.302                   16130.23256
## 1990                     11834.302                   16130.23256
## 1991                     11834.302                   16130.23256
## 1992                     11834.302                   16130.23256
## 1993                      8497.674                    6549.41860
## 1994                      8497.674                    6549.41860
## 1995                      8497.674                    6549.41860
## 1996                      8497.674                    6549.41860
## 1997                      8497.674                    6549.41860
## 1998                      8497.674                    6549.41860
## 1999                      8497.674                    6549.41860
## 2000                      8497.674                    6549.41860
## 2001                      8497.674                    6549.41860
## 2002                      8497.674                    6549.41860
## 2003                      8497.674                    6549.41860
## 2004                      8497.674                    6549.41860
## 2005                      8497.674                    6549.41860
## 2006                      8497.674                    6549.41860
## 2007                      8497.674                    6549.41860
## 2008                      8497.674                    6549.41860
## 2009                      8497.674                    6549.41860
## 2010                      8497.674                    6549.41860
## 2011                      8497.674                    6549.41860
## 2012                      8497.674                    6549.41860
## 2013                      8497.674                    6549.41860
## 2014                      8497.674                    6549.41860
## 2015                      8497.674                    6549.41860
## 2016                      8497.674                    6549.41860
## 2017                      9950.581                    3514.53488
## 2018                      9950.581                    3514.53488
## 2019                      9950.581                    3514.53488
## 2020                      9950.581                    3514.53488
## 2021                      9950.581                    3514.53488
## 2022                      9950.581                    3514.53488
## 2023                      9950.581                    3514.53488
## 2024                      9950.581                    3514.53488
## 2025                      9950.581                    3514.53488
## 2026                      9950.581                    3514.53488
## 2027                      9950.581                    3514.53488
## 2028                      9950.581                    3514.53488
## 2029                      9950.581                    3514.53488
## 2030                      9950.581                    3514.53488
## 2031                      9950.581                    3514.53488
## 2032                      9950.581                    3514.53488
## 2033                      9950.581                    3514.53488
## 2034                      9950.581                    3514.53488
## 2035                      9950.581                    3514.53488
## 2036                      9950.581                    3514.53488
## 2037                      9950.581                    3514.53488
## 2038                      9950.581                    3514.53488
## 2039                      9950.581                    3514.53488
## 2040                      9950.581                    3514.53488
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## 2051                      9680.233                      94.18605
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## 2058                      9680.233                      94.18605
## 2059                      9680.233                      94.18605
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## 2585                     12169.186                    1090.11628
## 2586                     12169.186                    1090.11628
## 2587                     12169.186                    1090.11628
## 2588                     12169.186                    1090.11628
## 2589                     12169.186                    1090.11628
## 2590                     12169.186                    1090.11628
## 2591                     12169.186                    1090.11628
## 2592                     12169.186                    1090.11628
## 2593                     11284.884                       0.00000
## 2594                     11284.884                       0.00000
## 2595                     11284.884                       0.00000
## 2596                     11284.884                       0.00000
## 2597                     11284.884                       0.00000
## 2598                     11284.884                       0.00000
## 2599                     11284.884                       0.00000
## 2600                     11284.884                       0.00000
## 2601                     11284.884                       0.00000
## 2602                     11284.884                       0.00000
## 2603                     11284.884                       0.00000
## 2604                     11284.884                       0.00000
## 2605                     11284.884                       0.00000
## 2606                     11284.884                       0.00000
## 2607                     11284.884                       0.00000
## 2608                     11284.884                       0.00000
## 2609                     11284.884                       0.00000
## 2610                     11284.884                       0.00000
## 2611                     11284.884                       0.00000
## 2612                     11284.884                       0.00000
## 2613                     11284.884                       0.00000
## 2614                     11284.884                       0.00000
## 2615                     11284.884                       0.00000
## 2616                     11284.884                       0.00000
## 2617                      5206.395                      94.18605
## 2618                      5206.395                      94.18605
## 2619                      5206.395                      94.18605
## 2620                      5206.395                      94.18605
## 2621                      5206.395                      94.18605
## 2622                      5206.395                      94.18605
## 2623                      5206.395                      94.18605
## 2624                      5206.395                      94.18605
## 2625                      5206.395                      94.18605
## 2626                      5206.395                      94.18605
## 2627                      5206.395                      94.18605
## 2628                      5206.395                      94.18605
## 2629                      5206.395                      94.18605
## 2630                      5206.395                      94.18605
## 2631                      5206.395                      94.18605
##      total_metaecosystem_Eug_indiv total_metaecosystem_Eup_indiv
## 1                       7834.88372                     3155.2326
## 2                       7834.88372                     3155.2326
## 3                       7834.88372                     3155.2326
## 4                       7834.88372                     3155.2326
## 5                       7834.88372                     3155.2326
## 6                       7834.88372                     3155.2326
## 7                       7834.88372                     3155.2326
## 8                       7834.88372                     3155.2326
## 9                       7834.88372                     3155.2326
## 10                      7834.88372                     3155.2326
## 11                      7834.88372                     3155.2326
## 12                      7834.88372                     3155.2326
## 13                      7834.88372                     3155.2326
## 14                      7834.88372                     3155.2326
## 15                      7834.88372                     3155.2326
## 16                      7834.88372                     3155.2326
## 17                      7834.88372                     3155.2326
## 18                      7834.88372                     3155.2326
## 19                      7834.88372                     3155.2326
## 20                      7834.88372                     3155.2326
## 21                      7834.88372                     3155.2326
## 22                      7834.88372                     3155.2326
## 23                      7834.88372                     3155.2326
## 24                      7834.88372                     3155.2326
## 25                      3057.55814                     4484.3023
## 26                      3057.55814                     4484.3023
## 27                      3057.55814                     4484.3023
## 28                      3057.55814                     4484.3023
## 29                      3057.55814                     4484.3023
## 30                      3057.55814                     4484.3023
## 31                      3057.55814                     4484.3023
## 32                      3057.55814                     4484.3023
## 33                      3057.55814                     4484.3023
## 34                      3057.55814                     4484.3023
## 35                      3057.55814                     4484.3023
## 36                      3057.55814                     4484.3023
## 37                      3057.55814                     4484.3023
## 38                      3057.55814                     4484.3023
## 39                      3057.55814                     4484.3023
## 40                      3057.55814                     4484.3023
## 41                      3057.55814                     4484.3023
## 42                      3057.55814                     4484.3023
## 43                      3057.55814                     4484.3023
## 44                      3057.55814                     4484.3023
## 45                      3057.55814                     4484.3023
## 46                      3057.55814                     4484.3023
## 47                      3057.55814                     4484.3023
## 48                      3057.55814                     4484.3023
## 49                       218.02326                     1318.6047
## 50                       218.02326                     1318.6047
## 51                       218.02326                     1318.6047
## 52                       218.02326                     1318.6047
## 53                       218.02326                     1318.6047
## 54                       218.02326                     1318.6047
## 55                       218.02326                     1318.6047
## 56                       218.02326                     1318.6047
## 57                       218.02326                     1318.6047
## 58                       218.02326                     1318.6047
## 59                       218.02326                     1318.6047
## 60                       218.02326                     1318.6047
## 61                       218.02326                     1318.6047
## 62                       218.02326                     1318.6047
## 63                       218.02326                     1318.6047
## 64                       218.02326                     1318.6047
## 65                       218.02326                     1318.6047
## 66                       218.02326                     1318.6047
## 67                       218.02326                     1318.6047
## 68                       218.02326                     1318.6047
## 69                       218.02326                     1318.6047
## 70                       218.02326                     1318.6047
## 71                       218.02326                     1318.6047
## 72                       218.02326                     1318.6047
## 73                         0.00000                     5084.3023
## 74                         0.00000                     5084.3023
## 75                         0.00000                     5084.3023
## 76                         0.00000                     5084.3023
## 77                         0.00000                     5084.3023
## 78                         0.00000                     5084.3023
## 79                         0.00000                     5084.3023
## 80                         0.00000                     5084.3023
## 81                         0.00000                     5084.3023
## 82                         0.00000                     5084.3023
## 83                         0.00000                     5084.3023
## 84                         0.00000                     5084.3023
## 85                         0.00000                     5084.3023
## 86                         0.00000                     5084.3023
## 87                         0.00000                     5084.3023
## 88                         0.00000                     5084.3023
## 89                         0.00000                     5084.3023
## 90                         0.00000                     5084.3023
## 91                         0.00000                     5084.3023
## 92                         0.00000                     5084.3023
## 93                         0.00000                     5084.3023
## 94                         0.00000                     5084.3023
## 95                         0.00000                     5084.3023
## 96                         0.00000                     5084.3023
## 97                         0.00000                     5241.2791
## 98                         0.00000                     5241.2791
## 99                         0.00000                     5241.2791
## 100                        0.00000                     5241.2791
## 101                        0.00000                     5241.2791
## 102                        0.00000                     5241.2791
## 103                        0.00000                     5241.2791
## 104                        0.00000                     5241.2791
## 105                        0.00000                     5241.2791
## 106                        0.00000                     5241.2791
## 107                        0.00000                     5241.2791
## 108                        0.00000                     5241.2791
## 109                        0.00000                     5241.2791
## 110                        0.00000                     5241.2791
## 111                        0.00000                     5241.2791
## 112                        0.00000                     5241.2791
## 113                        0.00000                     5241.2791
## 114                        0.00000                     5241.2791
## 115                        0.00000                     5241.2791
## 116                        0.00000                     5241.2791
## 117                        0.00000                     5241.2791
## 118                        0.00000                     5241.2791
## 119                        0.00000                     5241.2791
## 120                        0.00000                     5241.2791
## 121                        0.00000                     2956.3953
## 122                        0.00000                     2956.3953
## 123                        0.00000                     2956.3953
## 124                        0.00000                     2956.3953
## 125                        0.00000                     2956.3953
## 126                        0.00000                     2956.3953
## 127                        0.00000                     2956.3953
## 128                        0.00000                     2956.3953
## 129                        0.00000                     2956.3953
## 130                        0.00000                     2956.3953
## 131                        0.00000                     2956.3953
## 132                        0.00000                     2956.3953
## 133                        0.00000                     2956.3953
## 134                        0.00000                     2956.3953
## 135                        0.00000                     2956.3953
## 136                        0.00000                     2956.3953
## 137                        0.00000                     2956.3953
## 138                        0.00000                     2956.3953
## 139                        0.00000                     2956.3953
## 140                        0.00000                     2956.3953
## 141                        0.00000                     2956.3953
## 142                        0.00000                     2956.3953
## 143                        0.00000                     2956.3953
## 144                        0.00000                     2956.3953
## 145                        0.00000                      662.7907
## 146                        0.00000                      662.7907
## 147                        0.00000                      662.7907
## 148                        0.00000                      662.7907
## 149                        0.00000                      662.7907
## 150                        0.00000                      662.7907
## 151                        0.00000                      662.7907
## 152                        0.00000                      662.7907
## 153                        0.00000                      662.7907
## 154                        0.00000                      662.7907
## 155                        0.00000                      662.7907
## 156                        0.00000                      662.7907
## 157                        0.00000                      662.7907
## 158                        0.00000                      662.7907
## 159                        0.00000                      662.7907
## 160                        0.00000                      662.7907
## 161                        0.00000                      662.7907
## 162                        0.00000                      662.7907
## 163                        0.00000                      662.7907
## 164                        0.00000                      662.7907
## 165                        0.00000                      662.7907
## 166                        0.00000                      662.7907
## 167                        0.00000                      662.7907
## 168                        0.00000                      662.7907
## 169                     1090.11628                     2428.7791
## 170                     1090.11628                     2428.7791
## 171                     1090.11628                     2428.7791
## 172                     1090.11628                     2428.7791
## 173                     1090.11628                     2428.7791
## 174                     1090.11628                     2428.7791
## 175                     1090.11628                     2428.7791
## 176                     1090.11628                     2428.7791
## 177                     1090.11628                     2428.7791
## 178                     1090.11628                     2428.7791
## 179                     1090.11628                     2428.7791
## 180                     1090.11628                     2428.7791
## 181                     1090.11628                     2428.7791
## 182                     1090.11628                     2428.7791
## 183                     1090.11628                     2428.7791
## 184                     1090.11628                     2428.7791
## 185                     1090.11628                     2428.7791
## 186                     1090.11628                     2428.7791
## 187                     1090.11628                     2428.7791
## 188                     1090.11628                     2428.7791
## 189                     1090.11628                     2428.7791
## 190                     1090.11628                     2428.7791
## 191                     1090.11628                     2428.7791
## 192                     1090.11628                     2428.7791
## 193                     7834.88372                     3155.2326
## 194                     7834.88372                     3155.2326
## 195                     7834.88372                     3155.2326
## 196                     7834.88372                     3155.2326
## 197                     7834.88372                     3155.2326
## 198                     7834.88372                     3155.2326
## 199                     7834.88372                     3155.2326
## 200                     7834.88372                     3155.2326
## 201                     7834.88372                     3155.2326
## 202                     7834.88372                     3155.2326
## 203                     7834.88372                     3155.2326
## 204                     7834.88372                     3155.2326
## 205                     7834.88372                     3155.2326
## 206                     7834.88372                     3155.2326
## 207                     7834.88372                     3155.2326
## 208                     7834.88372                     3155.2326
## 209                     7834.88372                     3155.2326
## 210                     7834.88372                     3155.2326
## 211                     7834.88372                     3155.2326
## 212                     7834.88372                     3155.2326
## 213                     7834.88372                     3155.2326
## 214                     7834.88372                     3155.2326
## 215                     7834.88372                     3155.2326
## 216                     7834.88372                     3155.2326
## 217                     1941.27907                     8312.7907
## 218                     1941.27907                     8312.7907
## 219                     1941.27907                     8312.7907
## 220                     1941.27907                     8312.7907
## 221                     1941.27907                     8312.7907
## 222                     1941.27907                     8312.7907
## 223                     1941.27907                     8312.7907
## 224                     1941.27907                     8312.7907
## 225                     1941.27907                     8312.7907
## 226                     1941.27907                     8312.7907
## 227                     1941.27907                     8312.7907
## 228                     1941.27907                     8312.7907
## 229                     1941.27907                     8312.7907
## 230                     1941.27907                     8312.7907
## 231                     1941.27907                     8312.7907
## 232                     1941.27907                     8312.7907
## 233                     1941.27907                     8312.7907
## 234                     1941.27907                     8312.7907
## 235                     1941.27907                     8312.7907
## 236                     1941.27907                     8312.7907
## 237                     1941.27907                     8312.7907
## 238                     1941.27907                     8312.7907
## 239                     1941.27907                     8312.7907
## 240                     1941.27907                     8312.7907
## 241                      218.02326                     3071.5116
## 242                      218.02326                     3071.5116
## 243                      218.02326                     3071.5116
## 244                      218.02326                     3071.5116
## 245                      218.02326                     3071.5116
## 246                      218.02326                     3071.5116
## 247                      218.02326                     3071.5116
## 248                      218.02326                     3071.5116
## 249                      218.02326                     3071.5116
## 250                      218.02326                     3071.5116
## 251                      218.02326                     3071.5116
## 252                      218.02326                     3071.5116
## 253                      218.02326                     3071.5116
## 254                      218.02326                     3071.5116
## 255                      218.02326                     3071.5116
## 256                      218.02326                     3071.5116
## 257                      218.02326                     3071.5116
## 258                      218.02326                     3071.5116
## 259                      218.02326                     3071.5116
## 260                      218.02326                     3071.5116
## 261                      218.02326                     3071.5116
## 262                      218.02326                     3071.5116
## 263                      218.02326                     3071.5116
## 264                      218.02326                     3071.5116
## 265                     1438.95349                     4988.3721
## 266                     1438.95349                     4988.3721
## 267                     1438.95349                     4988.3721
## 268                     1438.95349                     4988.3721
## 269                     1438.95349                     4988.3721
## 270                     1438.95349                     4988.3721
## 271                     1438.95349                     4988.3721
## 272                     1438.95349                     4988.3721
## 273                     1438.95349                     4988.3721
## 274                     1438.95349                     4988.3721
## 275                     1438.95349                     4988.3721
## 276                     1438.95349                     4988.3721
## 277                     1438.95349                     4988.3721
## 278                     1438.95349                     4988.3721
## 279                     1438.95349                     4988.3721
## 280                     1438.95349                     4988.3721
## 281                     1438.95349                     4988.3721
## 282                     1438.95349                     4988.3721
## 283                     1438.95349                     4988.3721
## 284                     1438.95349                     4988.3721
## 285                     1438.95349                     4988.3721
## 286                     1438.95349                     4988.3721
## 287                     1438.95349                     4988.3721
## 288                     1438.95349                     4988.3721
## 289                        0.00000                     4534.8837
## 290                        0.00000                     4534.8837
## 291                        0.00000                     4534.8837
## 292                        0.00000                     4534.8837
## 293                        0.00000                     4534.8837
## 294                        0.00000                     4534.8837
## 295                        0.00000                     4534.8837
## 296                        0.00000                     4534.8837
## 297                        0.00000                     4534.8837
## 298                        0.00000                     4534.8837
## 299                        0.00000                     4534.8837
## 300                        0.00000                     4534.8837
## 301                        0.00000                     4534.8837
## 302                        0.00000                     4534.8837
## 303                        0.00000                     4534.8837
## 304                        0.00000                     4534.8837
## 305                        0.00000                     4534.8837
## 306                        0.00000                     4534.8837
## 307                        0.00000                     4534.8837
## 308                        0.00000                     4534.8837
## 309                        0.00000                     4534.8837
## 310                        0.00000                     4534.8837
## 311                        0.00000                     4534.8837
## 312                        0.00000                     4534.8837
## 313                        0.00000                     1456.3953
## 314                        0.00000                     1456.3953
## 315                        0.00000                     1456.3953
## 316                        0.00000                     1456.3953
## 317                        0.00000                     1456.3953
## 318                        0.00000                     1456.3953
## 319                        0.00000                     1456.3953
## 320                        0.00000                     1456.3953
## 321                        0.00000                     1456.3953
## 322                        0.00000                     1456.3953
## 323                        0.00000                     1456.3953
## 324                        0.00000                     1456.3953
## 325                        0.00000                     1456.3953
## 326                        0.00000                     1456.3953
## 327                        0.00000                     1456.3953
## 328                        0.00000                     1456.3953
## 329                        0.00000                     1456.3953
## 330                        0.00000                     1456.3953
## 331                        0.00000                     1456.3953
## 332                        0.00000                     1456.3953
## 333                        0.00000                     1456.3953
## 334                        0.00000                     1456.3953
## 335                        0.00000                     1456.3953
## 336                        0.00000                     1456.3953
## 337                     1312.50000                     1059.5930
## 338                     1312.50000                     1059.5930
## 339                     1312.50000                     1059.5930
## 340                     1312.50000                     1059.5930
## 341                     1312.50000                     1059.5930
## 342                     1312.50000                     1059.5930
## 343                     1312.50000                     1059.5930
## 344                     1312.50000                     1059.5930
## 345                     1312.50000                     1059.5930
## 346                     1312.50000                     1059.5930
## 347                     1312.50000                     1059.5930
## 348                     1312.50000                     1059.5930
## 349                     1312.50000                     1059.5930
## 350                     1312.50000                     1059.5930
## 351                     1312.50000                     1059.5930
## 352                     1312.50000                     1059.5930
## 353                     1312.50000                     1059.5930
## 354                     1312.50000                     1059.5930
## 355                     1312.50000                     1059.5930
## 356                     1312.50000                     1059.5930
## 357                     1312.50000                     1059.5930
## 358                     1312.50000                     1059.5930
## 359                     1312.50000                     1059.5930
## 360                     1312.50000                     1059.5930
## 361                     1962.20930                     1360.4651
## 362                     1962.20930                     1360.4651
## 363                     1962.20930                     1360.4651
## 364                     1962.20930                     1360.4651
## 365                     1962.20930                     1360.4651
## 366                     1962.20930                     1360.4651
## 367                     1962.20930                     1360.4651
## 368                     1962.20930                     1360.4651
## 369                     1962.20930                     1360.4651
## 370                     1962.20930                     1360.4651
## 371                     1962.20930                     1360.4651
## 372                     1962.20930                     1360.4651
## 373                     1962.20930                     1360.4651
## 374                     1962.20930                     1360.4651
## 375                     1962.20930                     1360.4651
## 376                     1962.20930                     1360.4651
## 377                     1962.20930                     1360.4651
## 378                     1962.20930                     1360.4651
## 379                     1962.20930                     1360.4651
## 380                     1962.20930                     1360.4651
## 381                     1962.20930                     1360.4651
## 382                     1962.20930                     1360.4651
## 383                     1962.20930                     1360.4651
## 384                     1962.20930                     1360.4651
## 385                     7834.88372                     3155.2326
## 386                     7834.88372                     3155.2326
## 387                     7834.88372                     3155.2326
## 388                     7834.88372                     3155.2326
## 389                     7834.88372                     3155.2326
## 390                     7834.88372                     3155.2326
## 391                     7834.88372                     3155.2326
## 392                     7834.88372                     3155.2326
## 393                     7834.88372                     3155.2326
## 394                     7834.88372                     3155.2326
## 395                     7834.88372                     3155.2326
## 396                     7834.88372                     3155.2326
## 397                     7834.88372                     3155.2326
## 398                     7834.88372                     3155.2326
## 399                     7834.88372                     3155.2326
## 400                     7834.88372                     3155.2326
## 401                     7834.88372                     3155.2326
## 402                     7834.88372                     3155.2326
## 403                     7834.88372                     3155.2326
## 404                     7834.88372                     3155.2326
## 405                     7834.88372                     3155.2326
## 406                     7834.88372                     3155.2326
## 407                     7834.88372                     3155.2326
## 408                     7834.88372                     3155.2326
## 409                     2263.95349                     2190.6977
## 410                     2263.95349                     2190.6977
## 411                     2263.95349                     2190.6977
## 412                     2263.95349                     2190.6977
## 413                     2263.95349                     2190.6977
## 414                     2263.95349                     2190.6977
## 415                     2263.95349                     2190.6977
## 416                     2263.95349                     2190.6977
## 417                     2263.95349                     2190.6977
## 418                     2263.95349                     2190.6977
## 419                     2263.95349                     2190.6977
## 420                     2263.95349                     2190.6977
## 421                     2263.95349                     2190.6977
## 422                     2263.95349                     2190.6977
## 423                     2263.95349                     2190.6977
## 424                     2263.95349                     2190.6977
## 425                     2263.95349                     2190.6977
## 426                     2263.95349                     2190.6977
## 427                     2263.95349                     2190.6977
## 428                     2263.95349                     2190.6977
## 429                     2263.95349                     2190.6977
## 430                     2263.95349                     2190.6977
## 431                     2263.95349                     2190.6977
## 432                     2263.95349                     2190.6977
## 433                      218.02326                     6586.0465
## 434                      218.02326                     6586.0465
## 435                      218.02326                     6586.0465
## 436                      218.02326                     6586.0465
## 437                      218.02326                     6586.0465
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## 450                      218.02326                     6586.0465
## 451                      218.02326                     6586.0465
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## 453                      218.02326                     6586.0465
## 454                      218.02326                     6586.0465
## 455                      218.02326                     6586.0465
## 456                      218.02326                     6586.0465
## 457                      837.20930                     3453.4884
## 458                      837.20930                     3453.4884
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## 468                      837.20930                     3453.4884
## 469                      837.20930                     3453.4884
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## 477                      837.20930                     3453.4884
## 478                      837.20930                     3453.4884
## 479                      837.20930                     3453.4884
## 480                      837.20930                     3453.4884
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## 1903                     837.20930                     1090.1163
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## 1915                     837.20930                     1090.1163
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## 1917                     837.20930                     1090.1163
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## 1927                    7834.88372                     3155.2326
## 1928                    7834.88372                     3155.2326
## 1929                    7834.88372                     3155.2326
## 1930                    7834.88372                     3155.2326
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## 1933                    7834.88372                     3155.2326
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## 1936                    7834.88372                     3155.2326
## 1937                    7834.88372                     3155.2326
## 1938                    7834.88372                     3155.2326
## 1939                    7834.88372                     3155.2326
## 1940                    7834.88372                     3155.2326
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## 1942                    7834.88372                     3155.2326
## 1943                    7834.88372                     3155.2326
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## 2012                       0.00000                     5084.3023
## 2013                       0.00000                     5084.3023
## 2014                       0.00000                     5084.3023
## 2015                       0.00000                     5084.3023
## 2016                       0.00000                     5084.3023
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## 2018                     650.58140                     5040.6977
## 2019                     650.58140                     5040.6977
## 2020                     650.58140                     5040.6977
## 2021                     650.58140                     5040.6977
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## 2558                       0.00000                     8297.0930
## 2559                       0.00000                     8297.0930
## 2560                       0.00000                     8297.0930
## 2561                       0.00000                     8297.0930
## 2562                       0.00000                     8297.0930
## 2563                       0.00000                     8297.0930
## 2564                       0.00000                     8297.0930
## 2565                       0.00000                     8297.0930
## 2566                       0.00000                     8297.0930
## 2567                       0.00000                     8297.0930
## 2568                       0.00000                     8297.0930
## 2569                       0.00000                     1090.1163
## 2570                       0.00000                     1090.1163
## 2571                       0.00000                     1090.1163
## 2572                       0.00000                     1090.1163
## 2573                       0.00000                     1090.1163
## 2574                       0.00000                     1090.1163
## 2575                       0.00000                     1090.1163
## 2576                       0.00000                     1090.1163
## 2577                       0.00000                     1090.1163
## 2578                       0.00000                     1090.1163
## 2579                       0.00000                     1090.1163
## 2580                       0.00000                     1090.1163
## 2581                       0.00000                     1090.1163
## 2582                       0.00000                     1090.1163
## 2583                       0.00000                     1090.1163
## 2584                       0.00000                     1090.1163
## 2585                       0.00000                     1090.1163
## 2586                       0.00000                     1090.1163
## 2587                       0.00000                     1090.1163
## 2588                       0.00000                     1090.1163
## 2589                       0.00000                     1090.1163
## 2590                       0.00000                     1090.1163
## 2591                       0.00000                     1090.1163
## 2592                       0.00000                     1090.1163
## 2593                     938.37209                     5581.3953
## 2594                     938.37209                     5581.3953
## 2595                     938.37209                     5581.3953
## 2596                     938.37209                     5581.3953
## 2597                     938.37209                     5581.3953
## 2598                     938.37209                     5581.3953
## 2599                     938.37209                     5581.3953
## 2600                     938.37209                     5581.3953
## 2601                     938.37209                     5581.3953
## 2602                     938.37209                     5581.3953
## 2603                     938.37209                     5581.3953
## 2604                     938.37209                     5581.3953
## 2605                     938.37209                     5581.3953
## 2606                     938.37209                     5581.3953
## 2607                     938.37209                     5581.3953
## 2608                     938.37209                     5581.3953
## 2609                     938.37209                     5581.3953
## 2610                     938.37209                     5581.3953
## 2611                     938.37209                     5581.3953
## 2612                     938.37209                     5581.3953
## 2613                     938.37209                     5581.3953
## 2614                     938.37209                     5581.3953
## 2615                     938.37209                     5581.3953
## 2616                     938.37209                     5581.3953
## 2617                    1090.11628                        0.0000
## 2618                    1090.11628                        0.0000
## 2619                    1090.11628                        0.0000
## 2620                    1090.11628                        0.0000
## 2621                    1090.11628                        0.0000
## 2622                    1090.11628                        0.0000
## 2623                    1090.11628                        0.0000
## 2624                    1090.11628                        0.0000
## 2625                    1090.11628                        0.0000
## 2626                    1090.11628                        0.0000
## 2627                    1090.11628                        0.0000
## 2628                    1090.11628                        0.0000
## 2629                    1090.11628                        0.0000
## 2630                    1090.11628                        0.0000
## 2631                    1090.11628                        0.0000
##      total_metaecosystem_Lox_indiv total_metaecosystem_Pau_indiv
## 1                        2494.1860                     5161.0465
## 2                        2494.1860                     5161.0465
## 3                        2494.1860                     5161.0465
## 4                        2494.1860                     5161.0465
## 5                        2494.1860                     5161.0465
## 6                        2494.1860                     5161.0465
## 7                        2494.1860                     5161.0465
## 8                        2494.1860                     5161.0465
## 9                        2494.1860                     5161.0465
## 10                       2494.1860                     5161.0465
## 11                       2494.1860                     5161.0465
## 12                       2494.1860                     5161.0465
## 13                       2494.1860                     5161.0465
## 14                       2494.1860                     5161.0465
## 15                       2494.1860                     5161.0465
## 16                       2494.1860                     5161.0465
## 17                       2494.1860                     5161.0465
## 18                       2494.1860                     5161.0465
## 19                       2494.1860                     5161.0465
## 20                       2494.1860                     5161.0465
## 21                       2494.1860                     5161.0465
## 22                       2494.1860                     5161.0465
## 23                       2494.1860                     5161.0465
## 24                       2494.1860                     5161.0465
## 25                        218.0233                        0.0000
## 26                        218.0233                        0.0000
## 27                        218.0233                        0.0000
## 28                        218.0233                        0.0000
## 29                        218.0233                        0.0000
## 30                        218.0233                        0.0000
## 31                        218.0233                        0.0000
## 32                        218.0233                        0.0000
## 33                        218.0233                        0.0000
## 34                        218.0233                        0.0000
## 35                        218.0233                        0.0000
## 36                        218.0233                        0.0000
## 37                        218.0233                        0.0000
## 38                        218.0233                        0.0000
## 39                        218.0233                        0.0000
## 40                        218.0233                        0.0000
## 41                        218.0233                        0.0000
## 42                        218.0233                        0.0000
## 43                        218.0233                        0.0000
## 44                        218.0233                        0.0000
## 45                        218.0233                        0.0000
## 46                        218.0233                        0.0000
## 47                        218.0233                        0.0000
## 48                        218.0233                        0.0000
## 49                          0.0000                     1970.9302
## 50                          0.0000                     1970.9302
## 51                          0.0000                     1970.9302
## 52                          0.0000                     1970.9302
## 53                          0.0000                     1970.9302
## 54                          0.0000                     1970.9302
## 55                          0.0000                     1970.9302
## 56                          0.0000                     1970.9302
## 57                          0.0000                     1970.9302
## 58                          0.0000                     1970.9302
## 59                          0.0000                     1970.9302
## 60                          0.0000                     1970.9302
## 61                          0.0000                     1970.9302
## 62                          0.0000                     1970.9302
## 63                          0.0000                     1970.9302
## 64                          0.0000                     1970.9302
## 65                          0.0000                     1970.9302
## 66                          0.0000                     1970.9302
## 67                          0.0000                     1970.9302
## 68                          0.0000                     1970.9302
## 69                          0.0000                     1970.9302
## 70                          0.0000                     1970.9302
## 71                          0.0000                     1970.9302
## 72                          0.0000                     1970.9302
## 73                          0.0000                     1369.1860
## 74                          0.0000                     1369.1860
## 75                          0.0000                     1369.1860
## 76                          0.0000                     1369.1860
## 77                          0.0000                     1369.1860
## 78                          0.0000                     1369.1860
## 79                          0.0000                     1369.1860
## 80                          0.0000                     1369.1860
## 81                          0.0000                     1369.1860
## 82                          0.0000                     1369.1860
## 83                          0.0000                     1369.1860
## 84                          0.0000                     1369.1860
## 85                          0.0000                     1369.1860
## 86                          0.0000                     1369.1860
## 87                          0.0000                     1369.1860
## 88                          0.0000                     1369.1860
## 89                          0.0000                     1369.1860
## 90                          0.0000                     1369.1860
## 91                          0.0000                     1369.1860
## 92                          0.0000                     1369.1860
## 93                          0.0000                     1369.1860
## 94                          0.0000                     1369.1860
## 95                          0.0000                     1369.1860
## 96                          0.0000                     1369.1860
## 97                        436.0465                     2776.7442
## 98                        436.0465                     2776.7442
## 99                        436.0465                     2776.7442
## 100                       436.0465                     2776.7442
## 101                       436.0465                     2776.7442
## 102                       436.0465                     2776.7442
## 103                       436.0465                     2776.7442
## 104                       436.0465                     2776.7442
## 105                       436.0465                     2776.7442
## 106                       436.0465                     2776.7442
## 107                       436.0465                     2776.7442
## 108                       436.0465                     2776.7442
## 109                       436.0465                     2776.7442
## 110                       436.0465                     2776.7442
## 111                       436.0465                     2776.7442
## 112                       436.0465                     2776.7442
## 113                       436.0465                     2776.7442
## 114                       436.0465                     2776.7442
## 115                       436.0465                     2776.7442
## 116                       436.0465                     2776.7442
## 117                       436.0465                     2776.7442
## 118                       436.0465                     2776.7442
## 119                       436.0465                     2776.7442
## 120                       436.0465                     2776.7442
## 121                         0.0000                      559.8837
## 122                         0.0000                      559.8837
## 123                         0.0000                      559.8837
## 124                         0.0000                      559.8837
## 125                         0.0000                      559.8837
## 126                         0.0000                      559.8837
## 127                         0.0000                      559.8837
## 128                         0.0000                      559.8837
## 129                         0.0000                      559.8837
## 130                         0.0000                      559.8837
## 131                         0.0000                      559.8837
## 132                         0.0000                      559.8837
## 133                         0.0000                      559.8837
## 134                         0.0000                      559.8837
## 135                         0.0000                      559.8837
## 136                         0.0000                      559.8837
## 137                         0.0000                      559.8837
## 138                         0.0000                      559.8837
## 139                         0.0000                      559.8837
## 140                         0.0000                      559.8837
## 141                         0.0000                      559.8837
## 142                         0.0000                      559.8837
## 143                         0.0000                      559.8837
## 144                         0.0000                      559.8837
## 145                       545.0581                      109.0116
## 146                       545.0581                      109.0116
## 147                       545.0581                      109.0116
## 148                       545.0581                      109.0116
## 149                       545.0581                      109.0116
## 150                       545.0581                      109.0116
## 151                       545.0581                      109.0116
## 152                       545.0581                      109.0116
## 153                       545.0581                      109.0116
## 154                       545.0581                      109.0116
## 155                       545.0581                      109.0116
## 156                       545.0581                      109.0116
## 157                       545.0581                      109.0116
## 158                       545.0581                      109.0116
## 159                       545.0581                      109.0116
## 160                       545.0581                      109.0116
## 161                       545.0581                      109.0116
## 162                       545.0581                      109.0116
## 163                       545.0581                      109.0116
## 164                       545.0581                      109.0116
## 165                       545.0581                      109.0116
## 166                       545.0581                      109.0116
## 167                       545.0581                      109.0116
## 168                       545.0581                      109.0116
## 169                      1630.8140                      531.9767
## 170                      1630.8140                      531.9767
## 171                      1630.8140                      531.9767
## 172                      1630.8140                      531.9767
## 173                      1630.8140                      531.9767
## 174                      1630.8140                      531.9767
## 175                      1630.8140                      531.9767
## 176                      1630.8140                      531.9767
## 177                      1630.8140                      531.9767
## 178                      1630.8140                      531.9767
## 179                      1630.8140                      531.9767
## 180                      1630.8140                      531.9767
## 181                      1630.8140                      531.9767
## 182                      1630.8140                      531.9767
## 183                      1630.8140                      531.9767
## 184                      1630.8140                      531.9767
## 185                      1630.8140                      531.9767
## 186                      1630.8140                      531.9767
## 187                      1630.8140                      531.9767
## 188                      1630.8140                      531.9767
## 189                      1630.8140                      531.9767
## 190                      1630.8140                      531.9767
## 191                      1630.8140                      531.9767
## 192                      1630.8140                      531.9767
## 193                      2494.1860                     5161.0465
## 194                      2494.1860                     5161.0465
## 195                      2494.1860                     5161.0465
## 196                      2494.1860                     5161.0465
## 197                      2494.1860                     5161.0465
## 198                      2494.1860                     5161.0465
## 199                      2494.1860                     5161.0465
## 200                      2494.1860                     5161.0465
## 201                      2494.1860                     5161.0465
## 202                      2494.1860                     5161.0465
## 203                      2494.1860                     5161.0465
## 204                      2494.1860                     5161.0465
## 205                      2494.1860                     5161.0465
## 206                      2494.1860                     5161.0465
## 207                      2494.1860                     5161.0465
## 208                      2494.1860                     5161.0465
## 209                      2494.1860                     5161.0465
## 210                      2494.1860                     5161.0465
## 211                      2494.1860                     5161.0465
## 212                      2494.1860                     5161.0465
## 213                      2494.1860                     5161.0465
## 214                      2494.1860                     5161.0465
## 215                      2494.1860                     5161.0465
## 216                      2494.1860                     5161.0465
## 217                      1438.9535                     5720.9302
## 218                      1438.9535                     5720.9302
## 219                      1438.9535                     5720.9302
## 220                      1438.9535                     5720.9302
## 221                      1438.9535                     5720.9302
## 222                      1438.9535                     5720.9302
## 223                      1438.9535                     5720.9302
## 224                      1438.9535                     5720.9302
## 225                      1438.9535                     5720.9302
## 226                      1438.9535                     5720.9302
## 227                      1438.9535                     5720.9302
## 228                      1438.9535                     5720.9302
## 229                      1438.9535                     5720.9302
## 230                      1438.9535                     5720.9302
## 231                      1438.9535                     5720.9302
## 232                      1438.9535                     5720.9302
## 233                      1438.9535                     5720.9302
## 234                      1438.9535                     5720.9302
## 235                      1438.9535                     5720.9302
## 236                      1438.9535                     5720.9302
## 237                      1438.9535                     5720.9302
## 238                      1438.9535                     5720.9302
## 239                      1438.9535                     5720.9302
## 240                      1438.9535                     5720.9302
## 241                         0.0000                      331.3953
## 242                         0.0000                      331.3953
## 243                         0.0000                      331.3953
## 244                         0.0000                      331.3953
## 245                         0.0000                      331.3953
## 246                         0.0000                      331.3953
## 247                         0.0000                      331.3953
## 248                         0.0000                      331.3953
## 249                         0.0000                      331.3953
## 250                         0.0000                      331.3953
## 251                         0.0000                      331.3953
## 252                         0.0000                      331.3953
## 253                         0.0000                      331.3953
## 254                         0.0000                      331.3953
## 255                         0.0000                      331.3953
## 256                         0.0000                      331.3953
## 257                         0.0000                      331.3953
## 258                         0.0000                      331.3953
## 259                         0.0000                      331.3953
## 260                         0.0000                      331.3953
## 261                         0.0000                      331.3953
## 262                         0.0000                      331.3953
## 263                         0.0000                      331.3953
## 264                         0.0000                      331.3953
## 265                         0.0000                     3052.3256
## 266                         0.0000                     3052.3256
## 267                         0.0000                     3052.3256
## 268                         0.0000                     3052.3256
## 269                         0.0000                     3052.3256
## 270                         0.0000                     3052.3256
## 271                         0.0000                     3052.3256
## 272                         0.0000                     3052.3256
## 273                         0.0000                     3052.3256
## 274                         0.0000                     3052.3256
## 275                         0.0000                     3052.3256
## 276                         0.0000                     3052.3256
## 277                         0.0000                     3052.3256
## 278                         0.0000                     3052.3256
## 279                         0.0000                     3052.3256
## 280                         0.0000                     3052.3256
## 281                         0.0000                     3052.3256
## 282                         0.0000                     3052.3256
## 283                         0.0000                     3052.3256
## 284                         0.0000                     3052.3256
## 285                         0.0000                     3052.3256
## 286                         0.0000                     3052.3256
## 287                         0.0000                     3052.3256
## 288                         0.0000                     3052.3256
## 289                       436.0465                     2192.4419
## 290                       436.0465                     2192.4419
## 291                       436.0465                     2192.4419
## 292                       436.0465                     2192.4419
## 293                       436.0465                     2192.4419
## 294                       436.0465                     2192.4419
## 295                       436.0465                     2192.4419
## 296                       436.0465                     2192.4419
## 297                       436.0465                     2192.4419
## 298                       436.0465                     2192.4419
## 299                       436.0465                     2192.4419
## 300                       436.0465                     2192.4419
## 301                       436.0465                     2192.4419
## 302                       436.0465                     2192.4419
## 303                       436.0465                     2192.4419
## 304                       436.0465                     2192.4419
## 305                       436.0465                     2192.4419
## 306                       436.0465                     2192.4419
## 307                       436.0465                     2192.4419
## 308                       436.0465                     2192.4419
## 309                       436.0465                     2192.4419
## 310                       436.0465                     2192.4419
## 311                       436.0465                     2192.4419
## 312                       436.0465                     2192.4419
## 313                         0.0000                     1833.1395
## 314                         0.0000                     1833.1395
## 315                         0.0000                     1833.1395
## 316                         0.0000                     1833.1395
## 317                         0.0000                     1833.1395
## 318                         0.0000                     1833.1395
## 319                         0.0000                     1833.1395
## 320                         0.0000                     1833.1395
## 321                         0.0000                     1833.1395
## 322                         0.0000                     1833.1395
## 323                         0.0000                     1833.1395
## 324                         0.0000                     1833.1395
## 325                         0.0000                     1833.1395
## 326                         0.0000                     1833.1395
## 327                         0.0000                     1833.1395
## 328                         0.0000                     1833.1395
## 329                         0.0000                     1833.1395
## 330                         0.0000                     1833.1395
## 331                         0.0000                     1833.1395
## 332                         0.0000                     1833.1395
## 333                         0.0000                     1833.1395
## 334                         0.0000                     1833.1395
## 335                         0.0000                     1833.1395
## 336                         0.0000                     1833.1395
## 337                         0.0000                     1020.3488
## 338                         0.0000                     1020.3488
## 339                         0.0000                     1020.3488
## 340                         0.0000                     1020.3488
## 341                         0.0000                     1020.3488
## 342                         0.0000                     1020.3488
## 343                         0.0000                     1020.3488
## 344                         0.0000                     1020.3488
## 345                         0.0000                     1020.3488
## 346                         0.0000                     1020.3488
## 347                         0.0000                     1020.3488
## 348                         0.0000                     1020.3488
## 349                         0.0000                     1020.3488
## 350                         0.0000                     1020.3488
## 351                         0.0000                     1020.3488
## 352                         0.0000                     1020.3488
## 353                         0.0000                     1020.3488
## 354                         0.0000                     1020.3488
## 355                         0.0000                     1020.3488
## 356                         0.0000                     1020.3488
## 357                         0.0000                     1020.3488
## 358                         0.0000                     1020.3488
## 359                         0.0000                     1020.3488
## 360                         0.0000                     1020.3488
## 361                       545.0581                      109.0116
## 362                       545.0581                      109.0116
## 363                       545.0581                      109.0116
## 364                       545.0581                      109.0116
## 365                       545.0581                      109.0116
## 366                       545.0581                      109.0116
## 367                       545.0581                      109.0116
## 368                       545.0581                      109.0116
## 369                       545.0581                      109.0116
## 370                       545.0581                      109.0116
## 371                       545.0581                      109.0116
## 372                       545.0581                      109.0116
## 373                       545.0581                      109.0116
## 374                       545.0581                      109.0116
## 375                       545.0581                      109.0116
## 376                       545.0581                      109.0116
## 377                       545.0581                      109.0116
## 378                       545.0581                      109.0116
## 379                       545.0581                      109.0116
## 380                       545.0581                      109.0116
## 381                       545.0581                      109.0116
## 382                       545.0581                      109.0116
## 383                       545.0581                      109.0116
## 384                       545.0581                      109.0116
## 385                      2494.1860                     5161.0465
## 386                      2494.1860                     5161.0465
## 387                      2494.1860                     5161.0465
## 388                      2494.1860                     5161.0465
## 389                      2494.1860                     5161.0465
## 390                      2494.1860                     5161.0465
## 391                      2494.1860                     5161.0465
## 392                      2494.1860                     5161.0465
## 393                      2494.1860                     5161.0465
## 394                      2494.1860                     5161.0465
## 395                      2494.1860                     5161.0465
## 396                      2494.1860                     5161.0465
## 397                      2494.1860                     5161.0465
## 398                      2494.1860                     5161.0465
## 399                      2494.1860                     5161.0465
## 400                      2494.1860                     5161.0465
## 401                      2494.1860                     5161.0465
## 402                      2494.1860                     5161.0465
## 403                      2494.1860                     5161.0465
## 404                      2494.1860                     5161.0465
## 405                      2494.1860                     5161.0465
## 406                      2494.1860                     5161.0465
## 407                      2494.1860                     5161.0465
## 408                      2494.1860                     5161.0465
## 409                      2188.9535                      915.6977
## 410                      2188.9535                      915.6977
## 411                      2188.9535                      915.6977
## 412                      2188.9535                      915.6977
## 413                      2188.9535                      915.6977
## 414                      2188.9535                      915.6977
## 415                      2188.9535                      915.6977
## 416                      2188.9535                      915.6977
## 417                      2188.9535                      915.6977
## 418                      2188.9535                      915.6977
## 419                      2188.9535                      915.6977
## 420                      2188.9535                      915.6977
## 421                      2188.9535                      915.6977
## 422                      2188.9535                      915.6977
## 423                      2188.9535                      915.6977
## 424                      2188.9535                      915.6977
## 425                      2188.9535                      915.6977
## 426                      2188.9535                      915.6977
## 427                      2188.9535                      915.6977
## 428                      2188.9535                      915.6977
## 429                      2188.9535                      915.6977
## 430                      2188.9535                      915.6977
## 431                      2188.9535                      915.6977
## 432                      2188.9535                      915.6977
## 433                       244.1860                      872.0930
## 434                       244.1860                      872.0930
## 435                       244.1860                      872.0930
## 436                       244.1860                      872.0930
## 437                       244.1860                      872.0930
## 438                       244.1860                      872.0930
## 439                       244.1860                      872.0930
## 440                       244.1860                      872.0930
## 441                       244.1860                      872.0930
## 442                       244.1860                      872.0930
## 443                       244.1860                      872.0930
## 444                       244.1860                      872.0930
## 445                       244.1860                      872.0930
## 446                       244.1860                      872.0930
## 447                       244.1860                      872.0930
## 448                       244.1860                      872.0930
## 449                       244.1860                      872.0930
## 450                       244.1860                      872.0930
## 451                       244.1860                      872.0930
## 452                       244.1860                      872.0930
## 453                       244.1860                      872.0930
## 454                       244.1860                      872.0930
## 455                       244.1860                      872.0930
## 456                       244.1860                      872.0930
## 457                       837.2093                     2093.0233
## 458                       837.2093                     2093.0233
## 459                       837.2093                     2093.0233
## 460                       837.2093                     2093.0233
## 461                       837.2093                     2093.0233
## 462                       837.2093                     2093.0233
## 463                       837.2093                     2093.0233
## 464                       837.2093                     2093.0233
## 465                       837.2093                     2093.0233
## 466                       837.2093                     2093.0233
## 467                       837.2093                     2093.0233
## 468                       837.2093                     2093.0233
## 469                       837.2093                     2093.0233
## 470                       837.2093                     2093.0233
## 471                       837.2093                     2093.0233
## 472                       837.2093                     2093.0233
## 473                       837.2093                     2093.0233
## 474                       837.2093                     2093.0233
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## 1913                      545.0581                      453.4884
## 1914                      545.0581                      453.4884
## 1915                      545.0581                      453.4884
## 1916                      545.0581                      453.4884
## 1917                      545.0581                      453.4884
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## 1920                      545.0581                      453.4884
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## 1929                     2494.1860                     5161.0465
## 1930                     2494.1860                     5161.0465
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## 1938                     2494.1860                     5161.0465
## 1939                     2494.1860                     5161.0465
## 1940                     2494.1860                     5161.0465
## 1941                     2494.1860                     5161.0465
## 1942                     2494.1860                     5161.0465
## 1943                     2494.1860                     5161.0465
## 1944                     2494.1860                     5161.0465
## 1945                        0.0000                        0.0000
## 1946                        0.0000                        0.0000
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## 1960                        0.0000                        0.0000
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## 1970                        0.0000                     1854.0698
## 1971                        0.0000                     1854.0698
## 1972                        0.0000                     1854.0698
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## 1974                        0.0000                     1854.0698
## 1975                        0.0000                     1854.0698
## 1976                        0.0000                     1854.0698
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## 1978                        0.0000                     1854.0698
## 1979                        0.0000                     1854.0698
## 1980                        0.0000                     1854.0698
## 1981                        0.0000                     1854.0698
## 1982                        0.0000                     1854.0698
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## 1984                        0.0000                     1854.0698
## 1985                        0.0000                     1854.0698
## 1986                        0.0000                     1854.0698
## 1987                        0.0000                     1854.0698
## 1988                        0.0000                     1854.0698
## 1989                        0.0000                     1854.0698
## 1990                        0.0000                     1854.0698
## 1991                        0.0000                     1854.0698
## 1992                        0.0000                     1854.0698
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## 1994                        0.0000                     1852.3256
## 1995                        0.0000                     1852.3256
## 1996                        0.0000                     1852.3256
## 1997                        0.0000                     1852.3256
## 1998                        0.0000                     1852.3256
## 1999                        0.0000                     1852.3256
## 2000                        0.0000                     1852.3256
## 2001                        0.0000                     1852.3256
## 2002                        0.0000                     1852.3256
## 2003                        0.0000                     1852.3256
## 2004                        0.0000                     1852.3256
## 2005                        0.0000                     1852.3256
## 2006                        0.0000                     1852.3256
## 2007                        0.0000                     1852.3256
## 2008                        0.0000                     1852.3256
## 2009                        0.0000                     1852.3256
## 2010                        0.0000                     1852.3256
## 2011                        0.0000                     1852.3256
## 2012                        0.0000                     1852.3256
## 2013                        0.0000                     1852.3256
## 2014                        0.0000                     1852.3256
## 2015                        0.0000                     1852.3256
## 2016                        0.0000                     1852.3256
## 2017                        0.0000                     2572.6744
## 2018                        0.0000                     2572.6744
## 2019                        0.0000                     2572.6744
## 2020                        0.0000                     2572.6744
## 2021                        0.0000                     2572.6744
## 2022                        0.0000                     2572.6744
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## 2028                        0.0000                     2572.6744
## 2029                        0.0000                     2572.6744
## 2030                        0.0000                     2572.6744
## 2031                        0.0000                     2572.6744
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## 2630                     1090.1163                        0.0000
## 2631                     1090.1163                        0.0000
##      total_metaecosystem_Pca_indiv total_metaecosystem_Spi_indiv
## 1                        883.43023                     635.75581
## 2                        883.43023                     635.75581
## 3                        883.43023                     635.75581
## 4                        883.43023                     635.75581
## 5                        883.43023                     635.75581
## 6                        883.43023                     635.75581
## 7                        883.43023                     635.75581
## 8                        883.43023                     635.75581
## 9                        883.43023                     635.75581
## 10                       883.43023                     635.75581
## 11                       883.43023                     635.75581
## 12                       883.43023                     635.75581
## 13                       883.43023                     635.75581
## 14                       883.43023                     635.75581
## 15                       883.43023                     635.75581
## 16                       883.43023                     635.75581
## 17                       883.43023                     635.75581
## 18                       883.43023                     635.75581
## 19                       883.43023                     635.75581
## 20                       883.43023                     635.75581
## 21                       883.43023                     635.75581
## 22                       883.43023                     635.75581
## 23                       883.43023                     635.75581
## 24                       883.43023                     635.75581
## 25                      1854.06977                    1055.23256
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## 28                      1854.06977                    1055.23256
## 29                      1854.06977                    1055.23256
## 30                      1854.06977                    1055.23256
## 31                      1854.06977                    1055.23256
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## 38                      1854.06977                    1055.23256
## 39                      1854.06977                    1055.23256
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## 41                      1854.06977                    1055.23256
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## 44                      1854.06977                    1055.23256
## 45                      1854.06977                    1055.23256
## 46                      1854.06977                    1055.23256
## 47                      1854.06977                    1055.23256
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## 61                      1189.53488                    1090.11628
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## 68                      1189.53488                    1090.11628
## 69                      1189.53488                    1090.11628
## 70                      1189.53488                    1090.11628
## 71                      1189.53488                    1090.11628
## 72                      1189.53488                    1090.11628
## 73                      3783.13953                    2180.23256
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## 78                      3783.13953                    2180.23256
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## 83                      3783.13953                    2180.23256
## 84                      3783.13953                    2180.23256
## 85                      3783.13953                    2180.23256
## 86                      3783.13953                    2180.23256
## 87                      3783.13953                    2180.23256
## 88                      3783.13953                    2180.23256
## 89                      3783.13953                    2180.23256
## 90                      3783.13953                    2180.23256
## 91                      3783.13953                    2180.23256
## 92                      3783.13953                    2180.23256
## 93                      3783.13953                    2180.23256
## 94                      3783.13953                    2180.23256
## 95                      3783.13953                    2180.23256
## 96                      3783.13953                    2180.23256
## 97                      1709.30233                     549.41860
## 98                      1709.30233                     549.41860
## 99                      1709.30233                     549.41860
## 100                     1709.30233                     549.41860
## 101                     1709.30233                     549.41860
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## 116                     1709.30233                     549.41860
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## 118                     1709.30233                     549.41860
## 119                     1709.30233                     549.41860
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## 142                      540.69767                       0.00000
## 143                      540.69767                       0.00000
## 144                      540.69767                       0.00000
## 145                     1181.68605                      31.39535
## 146                     1181.68605                      31.39535
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## 148                     1181.68605                      31.39535
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## 155                     1181.68605                      31.39535
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## 159                     1181.68605                      31.39535
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## 163                     1181.68605                      31.39535
## 164                     1181.68605                      31.39535
## 165                     1181.68605                      31.39535
## 166                     1181.68605                      31.39535
## 167                     1181.68605                      31.39535
## 168                     1181.68605                      31.39535
## 169                     1063.95349                     126.45349
## 170                     1063.95349                     126.45349
## 171                     1063.95349                     126.45349
## 172                     1063.95349                     126.45349
## 173                     1063.95349                     126.45349
## 174                     1063.95349                     126.45349
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## 179                     1063.95349                     126.45349
## 180                     1063.95349                     126.45349
## 181                     1063.95349                     126.45349
## 182                     1063.95349                     126.45349
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## 187                     1063.95349                     126.45349
## 188                     1063.95349                     126.45349
## 189                     1063.95349                     126.45349
## 190                     1063.95349                     126.45349
## 191                     1063.95349                     126.45349
## 192                     1063.95349                     126.45349
## 193                      883.43023                     635.75581
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## 195                      883.43023                     635.75581
## 196                      883.43023                     635.75581
## 197                      883.43023                     635.75581
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## 199                      883.43023                     635.75581
## 200                      883.43023                     635.75581
## 201                      883.43023                     635.75581
## 202                      883.43023                     635.75581
## 203                      883.43023                     635.75581
## 204                      883.43023                     635.75581
## 205                      883.43023                     635.75581
## 206                      883.43023                     635.75581
## 207                      883.43023                     635.75581
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## 215                      883.43023                     635.75581
## 216                      883.43023                     635.75581
## 217                     5708.72093                    1029.06977
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## 238                     5708.72093                    1029.06977
## 239                     5708.72093                    1029.06977
## 240                     5708.72093                    1029.06977
## 241                       99.41860                       0.00000
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## 285                      146.51163                    2188.95349
## 286                      146.51163                    2188.95349
## 287                      146.51163                    2188.95349
## 288                      146.51163                    2188.95349
## 289                        0.00000                    3654.06977
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## 312                        0.00000                    3654.06977
## 313                      976.74419                     287.79070
## 314                      976.74419                     287.79070
## 315                      976.74419                     287.79070
## 316                      976.74419                     287.79070
## 317                      976.74419                     287.79070
## 318                      976.74419                     287.79070
## 319                      976.74419                     287.79070
## 320                      976.74419                     287.79070
## 321                      976.74419                     287.79070
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## 326                      976.74419                     287.79070
## 327                      976.74419                     287.79070
## 328                      976.74419                     287.79070
## 329                      976.74419                     287.79070
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## 333                      976.74419                     287.79070
## 334                      976.74419                     287.79070
## 335                      976.74419                     287.79070
## 336                      976.74419                     287.79070
## 337                     1360.46512                      31.39535
## 338                     1360.46512                      31.39535
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## 341                     1360.46512                      31.39535
## 342                     1360.46512                      31.39535
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## 344                     1360.46512                      31.39535
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## 349                     1360.46512                      31.39535
## 350                     1360.46512                      31.39535
## 351                     1360.46512                      31.39535
## 352                     1360.46512                      31.39535
## 353                     1360.46512                      31.39535
## 354                     1360.46512                      31.39535
## 355                     1360.46512                      31.39535
## 356                     1360.46512                      31.39535
## 357                     1360.46512                      31.39535
## 358                     1360.46512                      31.39535
## 359                     1360.46512                      31.39535
## 360                     1360.46512                      31.39535
## 361                     1068.31395                       0.00000
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## 404                      883.43023                     635.75581
## 405                      883.43023                     635.75581
## 406                      883.43023                     635.75581
## 407                      883.43023                     635.75581
## 408                      883.43023                     635.75581
## 409                      144.76744                    2162.79070
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## 1949                    2014.53488                    1055.23256
## 1950                    2014.53488                    1055.23256
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## 1953                    2014.53488                    1055.23256
## 1954                    2014.53488                    1055.23256
## 1955                    2014.53488                    1055.23256
## 1956                    2014.53488                    1055.23256
## 1957                    2014.53488                    1055.23256
## 1958                    2014.53488                    1055.23256
## 1959                    2014.53488                    1055.23256
## 1960                    2014.53488                    1055.23256
## 1961                    2014.53488                    1055.23256
## 1962                    2014.53488                    1055.23256
## 1963                    2014.53488                    1055.23256
## 1964                    2014.53488                    1055.23256
## 1965                    2014.53488                    1055.23256
## 1966                    2014.53488                    1055.23256
## 1967                    2014.53488                    1055.23256
## 1968                    2014.53488                    1055.23256
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## 1970                    1090.11628                    1090.11628
## 1971                    1090.11628                    1090.11628
## 1972                    1090.11628                    1090.11628
## 1973                    1090.11628                    1090.11628
## 1974                    1090.11628                    1090.11628
## 1975                    1090.11628                    1090.11628
## 1976                    1090.11628                    1090.11628
## 1977                    1090.11628                    1090.11628
## 1978                    1090.11628                    1090.11628
## 1979                    1090.11628                    1090.11628
## 1980                    1090.11628                    1090.11628
## 1981                    1090.11628                    1090.11628
## 1982                    1090.11628                    1090.11628
## 1983                    1090.11628                    1090.11628
## 1984                    1090.11628                    1090.11628
## 1985                    1090.11628                    1090.11628
## 1986                    1090.11628                    1090.11628
## 1987                    1090.11628                    1090.11628
## 1988                    1090.11628                    1090.11628
## 1989                    1090.11628                    1090.11628
## 1990                    1090.11628                    1090.11628
## 1991                    1090.11628                    1090.11628
## 1992                    1090.11628                    1090.11628
## 1993                    3636.62791                    2180.23256
## 1994                    3636.62791                    2180.23256
## 1995                    3636.62791                    2180.23256
## 1996                    3636.62791                    2180.23256
## 1997                    3636.62791                    2180.23256
## 1998                    3636.62791                    2180.23256
## 1999                    3636.62791                    2180.23256
## 2000                    3636.62791                    2180.23256
## 2001                    3636.62791                    2180.23256
## 2002                    3636.62791                    2180.23256
## 2003                    3636.62791                    2180.23256
## 2004                    3636.62791                    2180.23256
## 2005                    3636.62791                    2180.23256
## 2006                    3636.62791                    2180.23256
## 2007                    3636.62791                    2180.23256
## 2008                    3636.62791                    2180.23256
## 2009                    3636.62791                    2180.23256
## 2010                    3636.62791                    2180.23256
## 2011                    3636.62791                    2180.23256
## 2012                    3636.62791                    2180.23256
## 2013                    3636.62791                    2180.23256
## 2014                    3636.62791                    2180.23256
## 2015                    3636.62791                    2180.23256
## 2016                    3636.62791                    2180.23256
## 2017                    1709.30233                     549.41860
## 2018                    1709.30233                     549.41860
## 2019                    1709.30233                     549.41860
## 2020                    1709.30233                     549.41860
## 2021                    1709.30233                     549.41860
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## 2138                    5869.18605                    1029.06977
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## 2140                    5869.18605                    1029.06977
## 2141                    5869.18605                    1029.06977
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## 2231                       0.00000                    3654.06977
## 2232                       0.00000                    3654.06977
## 2233                     976.74419                     287.79070
## 2234                     976.74419                     287.79070
## 2235                     976.74419                     287.79070
## 2236                     976.74419                     287.79070
## 2237                     976.74419                     287.79070
## 2238                     976.74419                     287.79070
## 2239                     976.74419                     287.79070
## 2240                     976.74419                     287.79070
## 2241                     976.74419                     287.79070
## 2242                     976.74419                     287.79070
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## 2244                     976.74419                     287.79070
## 2245                     976.74419                     287.79070
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## 2247                     976.74419                     287.79070
## 2248                     976.74419                     287.79070
## 2249                     976.74419                     287.79070
## 2250                     976.74419                     287.79070
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## 2254                     976.74419                     287.79070
## 2255                     976.74419                     287.79070
## 2256                     976.74419                     287.79070
## 2257                    1442.44186                       0.00000
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## 2278                    1442.44186                       0.00000
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## 2289                    1068.31395                       0.00000
## 2290                    1068.31395                       0.00000
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## 2305                     883.43023                     635.75581
## 2306                     883.43023                     635.75581
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## 2317                     883.43023                     635.75581
## 2318                     883.43023                     635.75581
## 2319                     883.43023                     635.75581
## 2320                     883.43023                     635.75581
## 2321                     883.43023                     635.75581
## 2322                     883.43023                     635.75581
## 2323                     883.43023                     635.75581
## 2324                     883.43023                     635.75581
## 2325                     883.43023                     635.75581
## 2326                     883.43023                     635.75581
## 2327                     883.43023                     635.75581
## 2328                     883.43023                     635.75581
## 2329                     305.23256                    2162.79070
## 2330                     305.23256                    2162.79070
## 2331                     305.23256                    2162.79070
## 2332                     305.23256                    2162.79070
## 2333                     305.23256                    2162.79070
## 2334                     305.23256                    2162.79070
## 2335                     305.23256                    2162.79070
## 2336                     305.23256                    2162.79070
## 2337                     305.23256                    2162.79070
## 2338                     305.23256                    2162.79070
## 2339                     305.23256                    2162.79070
## 2340                     305.23256                    2162.79070
## 2341                     305.23256                    2162.79070
## 2342                     305.23256                    2162.79070
## 2343                     305.23256                    2162.79070
## 2344                     305.23256                    2162.79070
## 2345                     305.23256                    2162.79070
## 2346                     305.23256                    2162.79070
## 2347                     305.23256                    2162.79070
## 2348                     305.23256                    2162.79070
## 2349                     305.23256                    2162.79070
## 2350                     305.23256                    2162.79070
## 2351                     305.23256                    2162.79070
## 2352                     305.23256                    2162.79070
## 2353                    1029.06977                    1090.11628
## 2354                    1029.06977                    1090.11628
## 2355                    1029.06977                    1090.11628
## 2356                    1029.06977                    1090.11628
## 2357                    1029.06977                    1090.11628
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## 2360                    1029.06977                    1090.11628
## 2361                    1029.06977                    1090.11628
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## 2363                    1029.06977                    1090.11628
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## 2365                    1029.06977                    1090.11628
## 2366                    1029.06977                    1090.11628
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## 2375                    1029.06977                    1090.11628
## 2376                    1029.06977                    1090.11628
## 2377                    2581.39535                       0.00000
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## 2423                    1648.25581                    2215.11628
## 2424                    1648.25581                    2215.11628
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## 2493                       0.00000                       0.00000
## 2494                       0.00000                       0.00000
## 2495                       0.00000                       0.00000
## 2496                       0.00000                       0.00000
## 2497                     883.43023                     635.75581
## 2498                     883.43023                     635.75581
## 2499                     883.43023                     635.75581
## 2500                     883.43023                     635.75581
## 2501                     883.43023                     635.75581
## 2502                     883.43023                     635.75581
## 2503                     883.43023                     635.75581
## 2504                     883.43023                     635.75581
## 2505                     883.43023                     635.75581
## 2506                     883.43023                     635.75581
## 2507                     883.43023                     635.75581
## 2508                     883.43023                     635.75581
## 2509                     883.43023                     635.75581
## 2510                     883.43023                     635.75581
## 2511                     883.43023                     635.75581
## 2512                     883.43023                     635.75581
## 2513                     883.43023                     635.75581
## 2514                     883.43023                     635.75581
## 2515                     883.43023                     635.75581
## 2516                     883.43023                     635.75581
## 2517                     883.43023                     635.75581
## 2518                     883.43023                     635.75581
## 2519                     883.43023                     635.75581
## 2520                     883.43023                     635.75581
## 2521                     863.37209                       0.00000
## 2522                     863.37209                       0.00000
## 2523                     863.37209                       0.00000
## 2524                     863.37209                       0.00000
## 2525                     863.37209                       0.00000
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## 2538                     863.37209                       0.00000
## 2539                     863.37209                       0.00000
## 2540                     863.37209                       0.00000
## 2541                     863.37209                       0.00000
## 2542                     863.37209                       0.00000
## 2543                     863.37209                       0.00000
## 2544                     863.37209                       0.00000
## 2545                    1107.55814                     235.46512
## 2546                    1107.55814                     235.46512
## 2547                    1107.55814                     235.46512
## 2548                    1107.55814                     235.46512
## 2549                    1107.55814                     235.46512
## 2550                    1107.55814                     235.46512
## 2551                    1107.55814                     235.46512
## 2552                    1107.55814                     235.46512
## 2553                    1107.55814                     235.46512
## 2554                    1107.55814                     235.46512
## 2555                    1107.55814                     235.46512
## 2556                    1107.55814                     235.46512
## 2557                    1107.55814                     235.46512
## 2558                    1107.55814                     235.46512
## 2559                    1107.55814                     235.46512
## 2560                    1107.55814                     235.46512
## 2561                    1107.55814                     235.46512
## 2562                    1107.55814                     235.46512
## 2563                    1107.55814                     235.46512
## 2564                    1107.55814                     235.46512
## 2565                    1107.55814                     235.46512
## 2566                    1107.55814                     235.46512
## 2567                    1107.55814                     235.46512
## 2568                    1107.55814                     235.46512
## 2569                    1229.65116                       0.00000
## 2570                    1229.65116                       0.00000
## 2571                    1229.65116                       0.00000
## 2572                    1229.65116                       0.00000
## 2573                    1229.65116                       0.00000
## 2574                    1229.65116                       0.00000
## 2575                    1229.65116                       0.00000
## 2576                    1229.65116                       0.00000
## 2577                    1229.65116                       0.00000
## 2578                    1229.65116                       0.00000
## 2579                    1229.65116                       0.00000
## 2580                    1229.65116                       0.00000
## 2581                    1229.65116                       0.00000
## 2582                    1229.65116                       0.00000
## 2583                    1229.65116                       0.00000
## 2584                    1229.65116                       0.00000
## 2585                    1229.65116                       0.00000
## 2586                    1229.65116                       0.00000
## 2587                    1229.65116                       0.00000
## 2588                    1229.65116                       0.00000
## 2589                    1229.65116                       0.00000
## 2590                    1229.65116                       0.00000
## 2591                    1229.65116                       0.00000
## 2592                    1229.65116                       0.00000
## 2593                    1055.23256                    1081.39535
## 2594                    1055.23256                    1081.39535
## 2595                    1055.23256                    1081.39535
## 2596                    1055.23256                    1081.39535
## 2597                    1055.23256                    1081.39535
## 2598                    1055.23256                    1081.39535
## 2599                    1055.23256                    1081.39535
## 2600                    1055.23256                    1081.39535
## 2601                    1055.23256                    1081.39535
## 2602                    1055.23256                    1081.39535
## 2603                    1055.23256                    1081.39535
## 2604                    1055.23256                    1081.39535
## 2605                    1055.23256                    1081.39535
## 2606                    1055.23256                    1081.39535
## 2607                    1055.23256                    1081.39535
## 2608                    1055.23256                    1081.39535
## 2609                    1055.23256                    1081.39535
## 2610                    1055.23256                    1081.39535
## 2611                    1055.23256                    1081.39535
## 2612                    1055.23256                    1081.39535
## 2613                    1055.23256                    1081.39535
## 2614                    1055.23256                    1081.39535
## 2615                    1055.23256                    1081.39535
## 2616                    1055.23256                    1081.39535
## 2617                    1561.04651                       0.00000
## 2618                    1561.04651                       0.00000
## 2619                    1561.04651                       0.00000
## 2620                    1561.04651                       0.00000
## 2621                    1561.04651                       0.00000
## 2622                    1561.04651                       0.00000
## 2623                    1561.04651                       0.00000
## 2624                    1561.04651                       0.00000
## 2625                    1561.04651                       0.00000
## 2626                    1561.04651                       0.00000
## 2627                    1561.04651                       0.00000
## 2628                    1561.04651                       0.00000
## 2629                    1561.04651                       0.00000
## 2630                    1561.04651                       0.00000
## 2631                    1561.04651                       0.00000
##      total_metaecosystem_Spi_te_indiv total_metaecosystem_Tet_indiv connection
## 1                            981.9767                      2243.895   isolated
## 2                            981.9767                      2243.895   isolated
## 3                            981.9767                      2243.895   isolated
## 4                            981.9767                      2243.895   isolated
## 5                            981.9767                      2243.895   isolated
## 6                            981.9767                      2243.895   isolated
## 7                            981.9767                      2243.895   isolated
## 8                            981.9767                      2243.895   isolated
## 9                            981.9767                      2243.895   isolated
## 10                           981.9767                      2243.895   isolated
## 11                           981.9767                      2243.895   isolated
## 12                           981.9767                      2243.895   isolated
## 13                           981.9767                      2243.895   isolated
## 14                           981.9767                      2243.895   isolated
## 15                           981.9767                      2243.895   isolated
## 16                           981.9767                      2243.895   isolated
## 17                           981.9767                      2243.895   isolated
## 18                           981.9767                      2243.895   isolated
## 19                           981.9767                      2243.895   isolated
## 20                           981.9767                      2243.895   isolated
## 21                           981.9767                      2243.895   isolated
## 22                           981.9767                      2243.895   isolated
## 23                           981.9767                      2243.895   isolated
## 24                           981.9767                      2243.895   isolated
## 25                          1090.1163                         0.000   isolated
## 26                          1090.1163                         0.000   isolated
## 27                          1090.1163                         0.000   isolated
## 28                          1090.1163                         0.000   isolated
## 29                          1090.1163                         0.000   isolated
## 30                          1090.1163                         0.000   isolated
## 31                          1090.1163                         0.000   isolated
## 32                          1090.1163                         0.000   isolated
## 33                          1090.1163                         0.000   isolated
## 34                          1090.1163                         0.000   isolated
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## 2325                         981.9767                      2243.895   isolated
## 2326                         981.9767                      2243.895   isolated
## 2327                         981.9767                      2243.895   isolated
## 2328                         981.9767                      2243.895   isolated
## 2329                        3261.6279                         0.000   isolated
## 2330                        3261.6279                         0.000   isolated
## 2331                        3261.6279                         0.000   isolated
## 2332                        3261.6279                         0.000   isolated
## 2333                        3261.6279                         0.000   isolated
## 2334                        3261.6279                         0.000   isolated
## 2335                        3261.6279                         0.000   isolated
## 2336                        3261.6279                         0.000   isolated
## 2337                        3261.6279                         0.000   isolated
## 2338                        3261.6279                         0.000   isolated
## 2339                        3261.6279                         0.000   isolated
## 2340                        3261.6279                         0.000   isolated
## 2341                        3261.6279                         0.000   isolated
## 2342                        3261.6279                         0.000   isolated
## 2343                        3261.6279                         0.000   isolated
## 2344                        3261.6279                         0.000   isolated
## 2345                        3261.6279                         0.000   isolated
## 2346                        3261.6279                         0.000   isolated
## 2347                        3261.6279                         0.000   isolated
## 2348                        3261.6279                         0.000   isolated
## 2349                        3261.6279                         0.000   isolated
## 2350                        3261.6279                         0.000   isolated
## 2351                        3261.6279                         0.000   isolated
## 2352                        3261.6279                         0.000   isolated
## 2353                        2883.1395                         0.000   isolated
## 2354                        2883.1395                         0.000   isolated
## 2355                        2883.1395                         0.000   isolated
## 2356                        2883.1395                         0.000   isolated
## 2357                        2883.1395                         0.000   isolated
## 2358                        2883.1395                         0.000   isolated
## 2359                        2883.1395                         0.000   isolated
## 2360                        2883.1395                         0.000   isolated
## 2361                        2883.1395                         0.000   isolated
## 2362                        2883.1395                         0.000   isolated
## 2363                        2883.1395                         0.000   isolated
## 2364                        2883.1395                         0.000   isolated
## 2365                        2883.1395                         0.000   isolated
## 2366                        2883.1395                         0.000   isolated
## 2367                        2883.1395                         0.000   isolated
## 2368                        2883.1395                         0.000   isolated
## 2369                        2883.1395                         0.000   isolated
## 2370                        2883.1395                         0.000   isolated
## 2371                        2883.1395                         0.000   isolated
## 2372                        2883.1395                         0.000   isolated
## 2373                        2883.1395                         0.000   isolated
## 2374                        2883.1395                         0.000   isolated
## 2375                        2883.1395                         0.000   isolated
## 2376                        2883.1395                         0.000   isolated
## 2377                        7011.6279                         0.000   isolated
## 2378                        7011.6279                         0.000   isolated
## 2379                        7011.6279                         0.000   isolated
## 2380                        7011.6279                         0.000   isolated
## 2381                        7011.6279                         0.000   isolated
## 2382                        7011.6279                         0.000   isolated
## 2383                        7011.6279                         0.000   isolated
## 2384                        7011.6279                         0.000   isolated
## 2385                        7011.6279                         0.000   isolated
## 2386                        7011.6279                         0.000   isolated
## 2387                        7011.6279                         0.000   isolated
## 2388                        7011.6279                         0.000   isolated
## 2389                        7011.6279                         0.000   isolated
## 2390                        7011.6279                         0.000   isolated
## 2391                        7011.6279                         0.000   isolated
## 2392                        7011.6279                         0.000   isolated
## 2393                        7011.6279                         0.000   isolated
## 2394                        7011.6279                         0.000   isolated
## 2395                        7011.6279                         0.000   isolated
## 2396                        7011.6279                         0.000   isolated
## 2397                        7011.6279                         0.000   isolated
## 2398                        7011.6279                         0.000   isolated
## 2399                        7011.6279                         0.000   isolated
## 2400                        7011.6279                         0.000   isolated
## 2401                        2215.1163                         0.000   isolated
## 2402                        2215.1163                         0.000   isolated
## 2403                        2215.1163                         0.000   isolated
## 2404                        2215.1163                         0.000   isolated
## 2405                        2215.1163                         0.000   isolated
## 2406                        2215.1163                         0.000   isolated
## 2407                        2215.1163                         0.000   isolated
## 2408                        2215.1163                         0.000   isolated
## 2409                        2215.1163                         0.000   isolated
## 2410                        2215.1163                         0.000   isolated
## 2411                        2215.1163                         0.000   isolated
## 2412                        2215.1163                         0.000   isolated
## 2413                        2215.1163                         0.000   isolated
## 2414                        2215.1163                         0.000   isolated
## 2415                        2215.1163                         0.000   isolated
## 2416                        2215.1163                         0.000   isolated
## 2417                        2215.1163                         0.000   isolated
## 2418                        2215.1163                         0.000   isolated
## 2419                        2215.1163                         0.000   isolated
## 2420                        2215.1163                         0.000   isolated
## 2421                        2215.1163                         0.000   isolated
## 2422                        2215.1163                         0.000   isolated
## 2423                        2215.1163                         0.000   isolated
## 2424                        2215.1163                         0.000   isolated
## 2425                        5450.5814                         0.000   isolated
## 2426                        5450.5814                         0.000   isolated
## 2427                        5450.5814                         0.000   isolated
## 2428                        5450.5814                         0.000   isolated
## 2429                        5450.5814                         0.000   isolated
## 2430                        5450.5814                         0.000   isolated
## 2431                        5450.5814                         0.000   isolated
## 2432                        5450.5814                         0.000   isolated
## 2433                        5450.5814                         0.000   isolated
## 2434                        5450.5814                         0.000   isolated
## 2435                        5450.5814                         0.000   isolated
## 2436                        5450.5814                         0.000   isolated
## 2437                        5450.5814                         0.000   isolated
## 2438                        5450.5814                         0.000   isolated
## 2439                        5450.5814                         0.000   isolated
## 2440                        5450.5814                         0.000   isolated
## 2441                        5450.5814                         0.000   isolated
## 2442                        5450.5814                         0.000   isolated
## 2443                        5450.5814                         0.000   isolated
## 2444                        5450.5814                         0.000   isolated
## 2445                        5450.5814                         0.000   isolated
## 2446                        5450.5814                         0.000   isolated
## 2447                        5450.5814                         0.000   isolated
## 2448                        5450.5814                         0.000   isolated
## 2449                         806.6860                         0.000   isolated
## 2450                         806.6860                         0.000   isolated
## 2451                         806.6860                         0.000   isolated
## 2452                         806.6860                         0.000   isolated
## 2453                         806.6860                         0.000   isolated
## 2454                         806.6860                         0.000   isolated
## 2455                         806.6860                         0.000   isolated
## 2456                         806.6860                         0.000   isolated
## 2457                         806.6860                         0.000   isolated
## 2458                         806.6860                         0.000   isolated
## 2459                         806.6860                         0.000   isolated
## 2460                         806.6860                         0.000   isolated
## 2461                         806.6860                         0.000   isolated
## 2462                         806.6860                         0.000   isolated
## 2463                         806.6860                         0.000   isolated
## 2464                         806.6860                         0.000   isolated
## 2465                         806.6860                         0.000   isolated
## 2466                         806.6860                         0.000   isolated
## 2467                         806.6860                         0.000   isolated
## 2468                         806.6860                         0.000   isolated
## 2469                         806.6860                         0.000   isolated
## 2470                         806.6860                         0.000   isolated
## 2471                         806.6860                         0.000   isolated
## 2472                         806.6860                         0.000   isolated
## 2473                        1229.6512                         0.000   isolated
## 2474                        1229.6512                         0.000   isolated
## 2475                        1229.6512                         0.000   isolated
## 2476                        1229.6512                         0.000   isolated
## 2477                        1229.6512                         0.000   isolated
## 2478                        1229.6512                         0.000   isolated
## 2479                        1229.6512                         0.000   isolated
## 2480                        1229.6512                         0.000   isolated
## 2481                        1229.6512                         0.000   isolated
## 2482                        1229.6512                         0.000   isolated
## 2483                        1229.6512                         0.000   isolated
## 2484                        1229.6512                         0.000   isolated
## 2485                        1229.6512                         0.000   isolated
## 2486                        1229.6512                         0.000   isolated
## 2487                        1229.6512                         0.000   isolated
## 2488                        1229.6512                         0.000   isolated
## 2489                        1229.6512                         0.000   isolated
## 2490                        1229.6512                         0.000   isolated
## 2491                        1229.6512                         0.000   isolated
## 2492                        1229.6512                         0.000   isolated
## 2493                        1229.6512                         0.000   isolated
## 2494                        1229.6512                         0.000   isolated
## 2495                        1229.6512                         0.000   isolated
## 2496                        1229.6512                         0.000   isolated
## 2497                         981.9767                      2243.895   isolated
## 2498                         981.9767                      2243.895   isolated
## 2499                         981.9767                      2243.895   isolated
## 2500                         981.9767                      2243.895   isolated
## 2501                         981.9767                      2243.895   isolated
## 2502                         981.9767                      2243.895   isolated
## 2503                         981.9767                      2243.895   isolated
## 2504                         981.9767                      2243.895   isolated
## 2505                         981.9767                      2243.895   isolated
## 2506                         981.9767                      2243.895   isolated
## 2507                         981.9767                      2243.895   isolated
## 2508                         981.9767                      2243.895   isolated
## 2509                         981.9767                      2243.895   isolated
## 2510                         981.9767                      2243.895   isolated
## 2511                         981.9767                      2243.895   isolated
## 2512                         981.9767                      2243.895   isolated
## 2513                         981.9767                      2243.895   isolated
## 2514                         981.9767                      2243.895   isolated
## 2515                         981.9767                      2243.895   isolated
## 2516                         981.9767                      2243.895   isolated
## 2517                         981.9767                      2243.895   isolated
## 2518                         981.9767                      2243.895   isolated
## 2519                         981.9767                      2243.895   isolated
## 2520                         981.9767                      2243.895   isolated
## 2521                        2616.2791                         0.000   isolated
## 2522                        2616.2791                         0.000   isolated
## 2523                        2616.2791                         0.000   isolated
## 2524                        2616.2791                         0.000   isolated
## 2525                        2616.2791                         0.000   isolated
## 2526                        2616.2791                         0.000   isolated
## 2527                        2616.2791                         0.000   isolated
## 2528                        2616.2791                         0.000   isolated
## 2529                        2616.2791                         0.000   isolated
## 2530                        2616.2791                         0.000   isolated
## 2531                        2616.2791                         0.000   isolated
## 2532                        2616.2791                         0.000   isolated
## 2533                        2616.2791                         0.000   isolated
## 2534                        2616.2791                         0.000   isolated
## 2535                        2616.2791                         0.000   isolated
## 2536                        2616.2791                         0.000   isolated
## 2537                        2616.2791                         0.000   isolated
## 2538                        2616.2791                         0.000   isolated
## 2539                        2616.2791                         0.000   isolated
## 2540                        2616.2791                         0.000   isolated
## 2541                        2616.2791                         0.000   isolated
## 2542                        2616.2791                         0.000   isolated
## 2543                        2616.2791                         0.000   isolated
## 2544                        2616.2791                         0.000   isolated
## 2545                        1793.0233                         0.000   isolated
## 2546                        1793.0233                         0.000   isolated
## 2547                        1793.0233                         0.000   isolated
## 2548                        1793.0233                         0.000   isolated
## 2549                        1793.0233                         0.000   isolated
## 2550                        1793.0233                         0.000   isolated
## 2551                        1793.0233                         0.000   isolated
## 2552                        1793.0233                         0.000   isolated
## 2553                        1793.0233                         0.000   isolated
## 2554                        1793.0233                         0.000   isolated
## 2555                        1793.0233                         0.000   isolated
## 2556                        1793.0233                         0.000   isolated
## 2557                        1793.0233                         0.000   isolated
## 2558                        1793.0233                         0.000   isolated
## 2559                        1793.0233                         0.000   isolated
## 2560                        1793.0233                         0.000   isolated
## 2561                        1793.0233                         0.000   isolated
## 2562                        1793.0233                         0.000   isolated
## 2563                        1793.0233                         0.000   isolated
## 2564                        1793.0233                         0.000   isolated
## 2565                        1793.0233                         0.000   isolated
## 2566                        1793.0233                         0.000   isolated
## 2567                        1793.0233                         0.000   isolated
## 2568                        1793.0233                         0.000   isolated
## 2569                        1308.1395                         0.000   isolated
## 2570                        1308.1395                         0.000   isolated
## 2571                        1308.1395                         0.000   isolated
## 2572                        1308.1395                         0.000   isolated
## 2573                        1308.1395                         0.000   isolated
## 2574                        1308.1395                         0.000   isolated
## 2575                        1308.1395                         0.000   isolated
## 2576                        1308.1395                         0.000   isolated
## 2577                        1308.1395                         0.000   isolated
## 2578                        1308.1395                         0.000   isolated
## 2579                        1308.1395                         0.000   isolated
## 2580                        1308.1395                         0.000   isolated
## 2581                        1308.1395                         0.000   isolated
## 2582                        1308.1395                         0.000   isolated
## 2583                        1308.1395                         0.000   isolated
## 2584                        1308.1395                         0.000   isolated
## 2585                        1308.1395                         0.000   isolated
## 2586                        1308.1395                         0.000   isolated
## 2587                        1308.1395                         0.000   isolated
## 2588                        1308.1395                         0.000   isolated
## 2589                        1308.1395                         0.000   isolated
## 2590                        1308.1395                         0.000   isolated
## 2591                        1308.1395                         0.000   isolated
## 2592                        1308.1395                         0.000   isolated
## 2593                           0.0000                         0.000   isolated
## 2594                           0.0000                         0.000   isolated
## 2595                           0.0000                         0.000   isolated
## 2596                           0.0000                         0.000   isolated
## 2597                           0.0000                         0.000   isolated
## 2598                           0.0000                         0.000   isolated
## 2599                           0.0000                         0.000   isolated
## 2600                           0.0000                         0.000   isolated
## 2601                           0.0000                         0.000   isolated
## 2602                           0.0000                         0.000   isolated
## 2603                           0.0000                         0.000   isolated
## 2604                           0.0000                         0.000   isolated
## 2605                           0.0000                         0.000   isolated
## 2606                           0.0000                         0.000   isolated
## 2607                           0.0000                         0.000   isolated
## 2608                           0.0000                         0.000   isolated
## 2609                           0.0000                         0.000   isolated
## 2610                           0.0000                         0.000   isolated
## 2611                           0.0000                         0.000   isolated
## 2612                           0.0000                         0.000   isolated
## 2613                           0.0000                         0.000   isolated
## 2614                           0.0000                         0.000   isolated
## 2615                           0.0000                         0.000   isolated
## 2616                           0.0000                         0.000   isolated
## 2617                           0.0000                         0.000   isolated
## 2618                           0.0000                         0.000   isolated
## 2619                           0.0000                         0.000   isolated
## 2620                           0.0000                         0.000   isolated
## 2621                           0.0000                         0.000   isolated
## 2622                           0.0000                         0.000   isolated
## 2623                           0.0000                         0.000   isolated
## 2624                           0.0000                         0.000   isolated
## 2625                           0.0000                         0.000   isolated
## 2626                           0.0000                         0.000   isolated
## 2627                           0.0000                         0.000   isolated
## 2628                           0.0000                         0.000   isolated
## 2629                           0.0000                         0.000   isolated
## 2630                           0.0000                         0.000   isolated
## 2631                           0.0000                         0.000   isolated
##      patch_size_symmetry baseline_total_metaecosystem_bioarea_mm2
## 1             asymmetric                                 152.9084
## 2             asymmetric                                 152.9084
## 3             asymmetric                                 152.9084
## 4             asymmetric                                 152.9084
## 5             asymmetric                                 152.9084
## 6             asymmetric                                 152.9084
## 7             asymmetric                                 152.9084
## 8             asymmetric                                 152.9084
## 9             asymmetric                                 152.9084
## 10            asymmetric                                 152.9084
## 11            asymmetric                                 152.9084
## 12            asymmetric                                 152.9084
## 13            asymmetric                                 152.9084
## 14            asymmetric                                 152.9084
## 15            asymmetric                                 152.9084
## 16            asymmetric                                 152.9084
## 17            asymmetric                                 152.9084
## 18            asymmetric                                 152.9084
## 19            asymmetric                                 152.9084
## 20            asymmetric                                 152.9084
## 21            asymmetric                                 152.9084
## 22            asymmetric                                 152.9084
## 23            asymmetric                                 152.9084
## 24            asymmetric                                 152.9084
## 25            asymmetric                                 152.9084
## 26            asymmetric                                 152.9084
## 27            asymmetric                                 152.9084
## 28            asymmetric                                 152.9084
## 29            asymmetric                                 152.9084
## 30            asymmetric                                 152.9084
## 31            asymmetric                                 152.9084
## 32            asymmetric                                 152.9084
## 33            asymmetric                                 152.9084
## 34            asymmetric                                 152.9084
## 35            asymmetric                                 152.9084
## 36            asymmetric                                 152.9084
## 37            asymmetric                                 152.9084
## 38            asymmetric                                 152.9084
## 39            asymmetric                                 152.9084
## 40            asymmetric                                 152.9084
## 41            asymmetric                                 152.9084
## 42            asymmetric                                 152.9084
## 43            asymmetric                                 152.9084
## 44            asymmetric                                 152.9084
## 45            asymmetric                                 152.9084
## 46            asymmetric                                 152.9084
## 47            asymmetric                                 152.9084
## 48            asymmetric                                 152.9084
## 49            asymmetric                                 152.9084
## 50            asymmetric                                 152.9084
## 51            asymmetric                                 152.9084
## 52            asymmetric                                 152.9084
## 53            asymmetric                                 152.9084
## 54            asymmetric                                 152.9084
## 55            asymmetric                                 152.9084
## 56            asymmetric                                 152.9084
## 57            asymmetric                                 152.9084
## 58            asymmetric                                 152.9084
## 59            asymmetric                                 152.9084
## 60            asymmetric                                 152.9084
## 61            asymmetric                                 152.9084
## 62            asymmetric                                 152.9084
## 63            asymmetric                                 152.9084
## 64            asymmetric                                 152.9084
## 65            asymmetric                                 152.9084
## 66            asymmetric                                 152.9084
## 67            asymmetric                                 152.9084
## 68            asymmetric                                 152.9084
## 69            asymmetric                                 152.9084
## 70            asymmetric                                 152.9084
## 71            asymmetric                                 152.9084
## 72            asymmetric                                 152.9084
## 73            asymmetric                                 152.9084
## 74            asymmetric                                 152.9084
## 75            asymmetric                                 152.9084
## 76            asymmetric                                 152.9084
## 77            asymmetric                                 152.9084
## 78            asymmetric                                 152.9084
## 79            asymmetric                                 152.9084
## 80            asymmetric                                 152.9084
## 81            asymmetric                                 152.9084
## 82            asymmetric                                 152.9084
## 83            asymmetric                                 152.9084
## 84            asymmetric                                 152.9084
## 85            asymmetric                                 152.9084
## 86            asymmetric                                 152.9084
## 87            asymmetric                                 152.9084
## 88            asymmetric                                 152.9084
## 89            asymmetric                                 152.9084
## 90            asymmetric                                 152.9084
## 91            asymmetric                                 152.9084
## 92            asymmetric                                 152.9084
## 93            asymmetric                                 152.9084
## 94            asymmetric                                 152.9084
## 95            asymmetric                                 152.9084
## 96            asymmetric                                 152.9084
## 97            asymmetric                                 152.9084
## 98            asymmetric                                 152.9084
## 99            asymmetric                                 152.9084
## 100           asymmetric                                 152.9084
## 101           asymmetric                                 152.9084
## 102           asymmetric                                 152.9084
## 103           asymmetric                                 152.9084
## 104           asymmetric                                 152.9084
## 105           asymmetric                                 152.9084
## 106           asymmetric                                 152.9084
## 107           asymmetric                                 152.9084
## 108           asymmetric                                 152.9084
## 109           asymmetric                                 152.9084
## 110           asymmetric                                 152.9084
## 111           asymmetric                                 152.9084
## 112           asymmetric                                 152.9084
## 113           asymmetric                                 152.9084
## 114           asymmetric                                 152.9084
## 115           asymmetric                                 152.9084
## 116           asymmetric                                 152.9084
## 117           asymmetric                                 152.9084
## 118           asymmetric                                 152.9084
## 119           asymmetric                                 152.9084
## 120           asymmetric                                 152.9084
## 121           asymmetric                                 152.9084
## 122           asymmetric                                 152.9084
## 123           asymmetric                                 152.9084
## 124           asymmetric                                 152.9084
## 125           asymmetric                                 152.9084
## 126           asymmetric                                 152.9084
## 127           asymmetric                                 152.9084
## 128           asymmetric                                 152.9084
## 129           asymmetric                                 152.9084
## 130           asymmetric                                 152.9084
## 131           asymmetric                                 152.9084
## 132           asymmetric                                 152.9084
## 133           asymmetric                                 152.9084
## 134           asymmetric                                 152.9084
## 135           asymmetric                                 152.9084
## 136           asymmetric                                 152.9084
## 137           asymmetric                                 152.9084
## 138           asymmetric                                 152.9084
## 139           asymmetric                                 152.9084
## 140           asymmetric                                 152.9084
## 141           asymmetric                                 152.9084
## 142           asymmetric                                 152.9084
## 143           asymmetric                                 152.9084
## 144           asymmetric                                 152.9084
## 145           asymmetric                                 152.9084
## 146           asymmetric                                 152.9084
## 147           asymmetric                                 152.9084
## 148           asymmetric                                 152.9084
## 149           asymmetric                                 152.9084
## 150           asymmetric                                 152.9084
## 151           asymmetric                                 152.9084
## 152           asymmetric                                 152.9084
## 153           asymmetric                                 152.9084
## 154           asymmetric                                 152.9084
## 155           asymmetric                                 152.9084
## 156           asymmetric                                 152.9084
## 157           asymmetric                                 152.9084
## 158           asymmetric                                 152.9084
## 159           asymmetric                                 152.9084
## 160           asymmetric                                 152.9084
## 161           asymmetric                                 152.9084
## 162           asymmetric                                 152.9084
## 163           asymmetric                                 152.9084
## 164           asymmetric                                 152.9084
## 165           asymmetric                                 152.9084
## 166           asymmetric                                 152.9084
## 167           asymmetric                                 152.9084
## 168           asymmetric                                 152.9084
## 169           asymmetric                                 152.9084
## 170           asymmetric                                 152.9084
## 171           asymmetric                                 152.9084
## 172           asymmetric                                 152.9084
## 173           asymmetric                                 152.9084
## 174           asymmetric                                 152.9084
## 175           asymmetric                                 152.9084
## 176           asymmetric                                 152.9084
## 177           asymmetric                                 152.9084
## 178           asymmetric                                 152.9084
## 179           asymmetric                                 152.9084
## 180           asymmetric                                 152.9084
## 181           asymmetric                                 152.9084
## 182           asymmetric                                 152.9084
## 183           asymmetric                                 152.9084
## 184           asymmetric                                 152.9084
## 185           asymmetric                                 152.9084
## 186           asymmetric                                 152.9084
## 187           asymmetric                                 152.9084
## 188           asymmetric                                 152.9084
## 189           asymmetric                                 152.9084
## 190           asymmetric                                 152.9084
## 191           asymmetric                                 152.9084
## 192           asymmetric                                 152.9084
## 193           asymmetric                                 229.7802
## 194           asymmetric                                 229.7802
## 195           asymmetric                                 229.7802
## 196           asymmetric                                 229.7802
## 197           asymmetric                                 229.7802
## 198           asymmetric                                 229.7802
## 199           asymmetric                                 229.7802
## 200           asymmetric                                 229.7802
## 201           asymmetric                                 229.7802
## 202           asymmetric                                 229.7802
## 203           asymmetric                                 229.7802
## 204           asymmetric                                 229.7802
## 205           asymmetric                                 229.7802
## 206           asymmetric                                 229.7802
## 207           asymmetric                                 229.7802
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## 210           asymmetric                                 229.7802
## 211           asymmetric                                 229.7802
## 212           asymmetric                                 229.7802
## 213           asymmetric                                 229.7802
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## 215           asymmetric                                 229.7802
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## 217           asymmetric                                 229.7802
## 218           asymmetric                                 229.7802
## 219           asymmetric                                 229.7802
## 220           asymmetric                                 229.7802
## 221           asymmetric                                 229.7802
## 222           asymmetric                                 229.7802
## 223           asymmetric                                 229.7802
## 224           asymmetric                                 229.7802
## 225           asymmetric                                 229.7802
## 226           asymmetric                                 229.7802
## 227           asymmetric                                 229.7802
## 228           asymmetric                                 229.7802
## 229           asymmetric                                 229.7802
## 230           asymmetric                                 229.7802
## 231           asymmetric                                 229.7802
## 232           asymmetric                                 229.7802
## 233           asymmetric                                 229.7802
## 234           asymmetric                                 229.7802
## 235           asymmetric                                 229.7802
## 236           asymmetric                                 229.7802
## 237           asymmetric                                 229.7802
## 238           asymmetric                                 229.7802
## 239           asymmetric                                 229.7802
## 240           asymmetric                                 229.7802
## 241           asymmetric                                 229.7802
## 242           asymmetric                                 229.7802
## 243           asymmetric                                 229.7802
## 244           asymmetric                                 229.7802
## 245           asymmetric                                 229.7802
## 246           asymmetric                                 229.7802
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## 248           asymmetric                                 229.7802
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## 250           asymmetric                                 229.7802
## 251           asymmetric                                 229.7802
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## 253           asymmetric                                 229.7802
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## 255           asymmetric                                 229.7802
## 256           asymmetric                                 229.7802
## 257           asymmetric                                 229.7802
## 258           asymmetric                                 229.7802
## 259           asymmetric                                 229.7802
## 260           asymmetric                                 229.7802
## 261           asymmetric                                 229.7802
## 262           asymmetric                                 229.7802
## 263           asymmetric                                 229.7802
## 264           asymmetric                                 229.7802
## 265           asymmetric                                 229.7802
## 266           asymmetric                                 229.7802
## 267           asymmetric                                 229.7802
## 268           asymmetric                                 229.7802
## 269           asymmetric                                 229.7802
## 270           asymmetric                                 229.7802
## 271           asymmetric                                 229.7802
## 272           asymmetric                                 229.7802
## 273           asymmetric                                 229.7802
## 274           asymmetric                                 229.7802
## 275           asymmetric                                 229.7802
## 276           asymmetric                                 229.7802
## 277           asymmetric                                 229.7802
## 278           asymmetric                                 229.7802
## 279           asymmetric                                 229.7802
## 280           asymmetric                                 229.7802
## 281           asymmetric                                 229.7802
## 282           asymmetric                                 229.7802
## 283           asymmetric                                 229.7802
## 284           asymmetric                                 229.7802
## 285           asymmetric                                 229.7802
## 286           asymmetric                                 229.7802
## 287           asymmetric                                 229.7802
## 288           asymmetric                                 229.7802
## 289           asymmetric                                 229.7802
## 290           asymmetric                                 229.7802
## 291           asymmetric                                 229.7802
## 292           asymmetric                                 229.7802
## 293           asymmetric                                 229.7802
## 294           asymmetric                                 229.7802
## 295           asymmetric                                 229.7802
## 296           asymmetric                                 229.7802
## 297           asymmetric                                 229.7802
## 298           asymmetric                                 229.7802
## 299           asymmetric                                 229.7802
## 300           asymmetric                                 229.7802
## 301           asymmetric                                 229.7802
## 302           asymmetric                                 229.7802
## 303           asymmetric                                 229.7802
## 304           asymmetric                                 229.7802
## 305           asymmetric                                 229.7802
## 306           asymmetric                                 229.7802
## 307           asymmetric                                 229.7802
## 308           asymmetric                                 229.7802
## 309           asymmetric                                 229.7802
## 310           asymmetric                                 229.7802
## 311           asymmetric                                 229.7802
## 312           asymmetric                                 229.7802
## 313           asymmetric                                 229.7802
## 314           asymmetric                                 229.7802
## 315           asymmetric                                 229.7802
## 316           asymmetric                                 229.7802
## 317           asymmetric                                 229.7802
## 318           asymmetric                                 229.7802
## 319           asymmetric                                 229.7802
## 320           asymmetric                                 229.7802
## 321           asymmetric                                 229.7802
## 322           asymmetric                                 229.7802
## 323           asymmetric                                 229.7802
## 324           asymmetric                                 229.7802
## 325           asymmetric                                 229.7802
## 326           asymmetric                                 229.7802
## 327           asymmetric                                 229.7802
## 328           asymmetric                                 229.7802
## 329           asymmetric                                 229.7802
## 330           asymmetric                                 229.7802
## 331           asymmetric                                 229.7802
## 332           asymmetric                                 229.7802
## 333           asymmetric                                 229.7802
## 334           asymmetric                                 229.7802
## 335           asymmetric                                 229.7802
## 336           asymmetric                                 229.7802
## 337           asymmetric                                 229.7802
## 338           asymmetric                                 229.7802
## 339           asymmetric                                 229.7802
## 340           asymmetric                                 229.7802
## 341           asymmetric                                 229.7802
## 342           asymmetric                                 229.7802
## 343           asymmetric                                 229.7802
## 344           asymmetric                                 229.7802
## 345           asymmetric                                 229.7802
## 346           asymmetric                                 229.7802
## 347           asymmetric                                 229.7802
## 348           asymmetric                                 229.7802
## 349           asymmetric                                 229.7802
## 350           asymmetric                                 229.7802
## 351           asymmetric                                 229.7802
## 352           asymmetric                                 229.7802
## 353           asymmetric                                 229.7802
## 354           asymmetric                                 229.7802
## 355           asymmetric                                 229.7802
## 356           asymmetric                                 229.7802
## 357           asymmetric                                 229.7802
## 358           asymmetric                                 229.7802
## 359           asymmetric                                 229.7802
## 360           asymmetric                                 229.7802
## 361           asymmetric                                 229.7802
## 362           asymmetric                                 229.7802
## 363           asymmetric                                 229.7802
## 364           asymmetric                                 229.7802
## 365           asymmetric                                 229.7802
## 366           asymmetric                                 229.7802
## 367           asymmetric                                 229.7802
## 368           asymmetric                                 229.7802
## 369           asymmetric                                 229.7802
## 370           asymmetric                                 229.7802
## 371           asymmetric                                 229.7802
## 372           asymmetric                                 229.7802
## 373           asymmetric                                 229.7802
## 374           asymmetric                                 229.7802
## 375           asymmetric                                 229.7802
## 376           asymmetric                                 229.7802
## 377           asymmetric                                 229.7802
## 378           asymmetric                                 229.7802
## 379           asymmetric                                 229.7802
## 380           asymmetric                                 229.7802
## 381           asymmetric                                 229.7802
## 382           asymmetric                                 229.7802
## 383           asymmetric                                 229.7802
## 384           asymmetric                                 229.7802
## 385           asymmetric                                 184.4961
## 386           asymmetric                                 184.4961
## 387           asymmetric                                 184.4961
## 388           asymmetric                                 184.4961
## 389           asymmetric                                 184.4961
## 390           asymmetric                                 184.4961
## 391           asymmetric                                 184.4961
## 392           asymmetric                                 184.4961
## 393           asymmetric                                 184.4961
## 394           asymmetric                                 184.4961
## 395           asymmetric                                 184.4961
## 396           asymmetric                                 184.4961
## 397           asymmetric                                 184.4961
## 398           asymmetric                                 184.4961
## 399           asymmetric                                 184.4961
## 400           asymmetric                                 184.4961
## 401           asymmetric                                 184.4961
## 402           asymmetric                                 184.4961
## 403           asymmetric                                 184.4961
## 404           asymmetric                                 184.4961
## 405           asymmetric                                 184.4961
## 406           asymmetric                                 184.4961
## 407           asymmetric                                 184.4961
## 408           asymmetric                                 184.4961
## 409           asymmetric                                 184.4961
## 410           asymmetric                                 184.4961
## 411           asymmetric                                 184.4961
## 412           asymmetric                                 184.4961
## 413           asymmetric                                 184.4961
## 414           asymmetric                                 184.4961
## 415           asymmetric                                 184.4961
## 416           asymmetric                                 184.4961
## 417           asymmetric                                 184.4961
## 418           asymmetric                                 184.4961
## 419           asymmetric                                 184.4961
## 420           asymmetric                                 184.4961
## 421           asymmetric                                 184.4961
## 422           asymmetric                                 184.4961
## 423           asymmetric                                 184.4961
## 424           asymmetric                                 184.4961
## 425           asymmetric                                 184.4961
## 426           asymmetric                                 184.4961
## 427           asymmetric                                 184.4961
## 428           asymmetric                                 184.4961
## 429           asymmetric                                 184.4961
## 430           asymmetric                                 184.4961
## 431           asymmetric                                 184.4961
## 432           asymmetric                                 184.4961
## 433           asymmetric                                 184.4961
## 434           asymmetric                                 184.4961
## 435           asymmetric                                 184.4961
## 436           asymmetric                                 184.4961
## 437           asymmetric                                 184.4961
## 438           asymmetric                                 184.4961
## 439           asymmetric                                 184.4961
## 440           asymmetric                                 184.4961
## 441           asymmetric                                 184.4961
## 442           asymmetric                                 184.4961
## 443           asymmetric                                 184.4961
## 444           asymmetric                                 184.4961
## 445           asymmetric                                 184.4961
## 446           asymmetric                                 184.4961
## 447           asymmetric                                 184.4961
## 448           asymmetric                                 184.4961
## 449           asymmetric                                 184.4961
## 450           asymmetric                                 184.4961
## 451           asymmetric                                 184.4961
## 452           asymmetric                                 184.4961
## 453           asymmetric                                 184.4961
## 454           asymmetric                                 184.4961
## 455           asymmetric                                 184.4961
## 456           asymmetric                                 184.4961
## 457           asymmetric                                 184.4961
## 458           asymmetric                                 184.4961
## 459           asymmetric                                 184.4961
## 460           asymmetric                                 184.4961
## 461           asymmetric                                 184.4961
## 462           asymmetric                                 184.4961
## 463           asymmetric                                 184.4961
## 464           asymmetric                                 184.4961
## 465           asymmetric                                 184.4961
## 466           asymmetric                                 184.4961
## 467           asymmetric                                 184.4961
## 468           asymmetric                                 184.4961
## 469           asymmetric                                 184.4961
## 470           asymmetric                                 184.4961
## 471           asymmetric                                 184.4961
## 472           asymmetric                                 184.4961
## 473           asymmetric                                 184.4961
## 474           asymmetric                                 184.4961
## 475           asymmetric                                 184.4961
## 476           asymmetric                                 184.4961
## 477           asymmetric                                 184.4961
## 478           asymmetric                                 184.4961
## 479           asymmetric                                 184.4961
## 480           asymmetric                                 184.4961
## 481           asymmetric                                 184.4961
## 482           asymmetric                                 184.4961
## 483           asymmetric                                 184.4961
## 484           asymmetric                                 184.4961
## 485           asymmetric                                 184.4961
## 486           asymmetric                                 184.4961
## 487           asymmetric                                 184.4961
## 488           asymmetric                                 184.4961
## 489           asymmetric                                 184.4961
## 490           asymmetric                                 184.4961
## 491           asymmetric                                 184.4961
## 492           asymmetric                                 184.4961
## 493           asymmetric                                 184.4961
## 494           asymmetric                                 184.4961
## 495           asymmetric                                 184.4961
## 496           asymmetric                                 184.4961
## 497           asymmetric                                 184.4961
## 498           asymmetric                                 184.4961
## 499           asymmetric                                 184.4961
## 500           asymmetric                                 184.4961
## 501           asymmetric                                 184.4961
## 502           asymmetric                                 184.4961
## 503           asymmetric                                 184.4961
## 504           asymmetric                                 184.4961
## 505           asymmetric                                 184.4961
## 506           asymmetric                                 184.4961
## 507           asymmetric                                 184.4961
## 508           asymmetric                                 184.4961
## 509           asymmetric                                 184.4961
## 510           asymmetric                                 184.4961
## 511           asymmetric                                 184.4961
## 512           asymmetric                                 184.4961
## 513           asymmetric                                 184.4961
## 514           asymmetric                                 184.4961
## 515           asymmetric                                 184.4961
## 516           asymmetric                                 184.4961
## 517           asymmetric                                 184.4961
## 518           asymmetric                                 184.4961
## 519           asymmetric                                 184.4961
## 520           asymmetric                                 184.4961
## 521           asymmetric                                 184.4961
## 522           asymmetric                                 184.4961
## 523           asymmetric                                 184.4961
## 524           asymmetric                                 184.4961
## 525           asymmetric                                 184.4961
## 526           asymmetric                                 184.4961
## 527           asymmetric                                 184.4961
## 528           asymmetric                                 184.4961
## 529           asymmetric                                 184.4961
## 530           asymmetric                                 184.4961
## 531           asymmetric                                 184.4961
## 532           asymmetric                                 184.4961
## 533           asymmetric                                 184.4961
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## 535           asymmetric                                 184.4961
## 536           asymmetric                                 184.4961
## 537           asymmetric                                 184.4961
## 538           asymmetric                                 184.4961
## 539           asymmetric                                 184.4961
## 540           asymmetric                                 184.4961
## 541           asymmetric                                 184.4961
## 542           asymmetric                                 184.4961
## 543           asymmetric                                 184.4961
## 544           asymmetric                                 184.4961
## 545           asymmetric                                 184.4961
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## 548           asymmetric                                 184.4961
## 549           asymmetric                                 184.4961
## 550           asymmetric                                 184.4961
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## 552           asymmetric                                 184.4961
## 553           asymmetric                                 184.4961
## 554           asymmetric                                 184.4961
## 555           asymmetric                                 184.4961
## 556           asymmetric                                 184.4961
## 557           asymmetric                                 184.4961
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## 561           asymmetric                                 184.4961
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## 565           asymmetric                                 184.4961
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## 567           asymmetric                                 184.4961
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## 574           asymmetric                                 184.4961
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## 577           asymmetric                                 115.9153
## 578           asymmetric                                 115.9153
## 579           asymmetric                                 115.9153
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## 585           asymmetric                                 115.9153
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## 588           asymmetric                                 115.9153
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## 592           asymmetric                                 115.9153
## 593           asymmetric                                 115.9153
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## 595           asymmetric                                 115.9153
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## 597           asymmetric                                 115.9153
## 598           asymmetric                                 115.9153
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## 600           asymmetric                                 115.9153
## 601           asymmetric                                 115.9153
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## 603           asymmetric                                 115.9153
## 604           asymmetric                                 115.9153
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## 611           asymmetric                                 115.9153
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## 621           asymmetric                                 115.9153
## 622           asymmetric                                 115.9153
## 623           asymmetric                                 115.9153
## 624           asymmetric                                 115.9153
## 625           asymmetric                                 115.9153
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## 629           asymmetric                                 115.9153
## 630           asymmetric                                 115.9153
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## 632           asymmetric                                 115.9153
## 633           asymmetric                                 115.9153
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## 635           asymmetric                                 115.9153
## 636           asymmetric                                 115.9153
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## 638           asymmetric                                 115.9153
## 639           asymmetric                                 115.9153
## 640           asymmetric                                 115.9153
## 641           asymmetric                                 115.9153
## 642           asymmetric                                 115.9153
## 643           asymmetric                                 115.9153
## 644           asymmetric                                 115.9153
## 645           asymmetric                                 115.9153
## 646           asymmetric                                 115.9153
## 647           asymmetric                                 115.9153
## 648           asymmetric                                 115.9153
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## 650           asymmetric                                 115.9153
## 651           asymmetric                                 115.9153
## 652           asymmetric                                 115.9153
## 653           asymmetric                                 115.9153
## 654           asymmetric                                 115.9153
## 655           asymmetric                                 115.9153
## 656           asymmetric                                 115.9153
## 657           asymmetric                                 115.9153
## 658           asymmetric                                 115.9153
## 659           asymmetric                                 115.9153
## 660           asymmetric                                 115.9153
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## 662           asymmetric                                 115.9153
## 663           asymmetric                                 115.9153
## 664           asymmetric                                 115.9153
## 665           asymmetric                                 115.9153
## 666           asymmetric                                 115.9153
## 667           asymmetric                                 115.9153
## 668           asymmetric                                 115.9153
## 669           asymmetric                                 115.9153
## 670           asymmetric                                 115.9153
## 671           asymmetric                                 115.9153
## 672           asymmetric                                 115.9153
## 673           asymmetric                                 115.9153
## 674           asymmetric                                 115.9153
## 675           asymmetric                                 115.9153
## 676           asymmetric                                 115.9153
## 677           asymmetric                                 115.9153
## 678           asymmetric                                 115.9153
## 679           asymmetric                                 115.9153
## 680           asymmetric                                 115.9153
## 681           asymmetric                                 115.9153
## 682           asymmetric                                 115.9153
## 683           asymmetric                                 115.9153
## 684           asymmetric                                 115.9153
## 685           asymmetric                                 115.9153
## 686           asymmetric                                 115.9153
## 687           asymmetric                                 115.9153
## 688           asymmetric                                 115.9153
## 689           asymmetric                                 115.9153
## 690           asymmetric                                 115.9153
## 691           asymmetric                                 115.9153
## 692           asymmetric                                 115.9153
## 693           asymmetric                                 115.9153
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## 695           asymmetric                                 115.9153
## 696           asymmetric                                 115.9153
## 697           asymmetric                                 115.9153
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## 699           asymmetric                                 115.9153
## 700           asymmetric                                 115.9153
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## 702           asymmetric                                 115.9153
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## 704           asymmetric                                 115.9153
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## 706           asymmetric                                 115.9153
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## 711           asymmetric                                 115.9153
## 712           asymmetric                                 115.9153
## 713           asymmetric                                 115.9153
## 714           asymmetric                                 115.9153
## 715           asymmetric                                 115.9153
## 716           asymmetric                                 115.9153
## 717           asymmetric                                 115.9153
## 718           asymmetric                                 115.9153
## 719           asymmetric                                 115.9153
## 720           asymmetric                                 115.9153
## 721           asymmetric                                 115.9153
## 722           asymmetric                                 115.9153
## 723           asymmetric                                 115.9153
## 724           asymmetric                                 115.9153
## 725           asymmetric                                 115.9153
## 726           asymmetric                                 115.9153
## 727           asymmetric                                 115.9153
## 728           asymmetric                                 115.9153
## 729           asymmetric                                 115.9153
## 730           asymmetric                                 115.9153
## 731           asymmetric                                 115.9153
## 732           asymmetric                                 115.9153
## 733           asymmetric                                 115.9153
## 734           asymmetric                                 115.9153
## 735           asymmetric                                 115.9153
## 736           asymmetric                                 115.9153
## 737           asymmetric                                 115.9153
## 738           asymmetric                                 115.9153
## 739           asymmetric                                 115.9153
## 740           asymmetric                                 115.9153
## 741           asymmetric                                 115.9153
## 742           asymmetric                                 115.9153
## 743           asymmetric                                 115.9153
## 744           asymmetric                                 115.9153
## 745           asymmetric                                 115.9153
## 746           asymmetric                                 115.9153
## 747           asymmetric                                 115.9153
## 748           asymmetric                                 115.9153
## 749           asymmetric                                 115.9153
## 750           asymmetric                                 115.9153
## 751           asymmetric                                 115.9153
## 752           asymmetric                                 115.9153
## 753           asymmetric                                 115.9153
## 754           asymmetric                                 115.9153
## 755           asymmetric                                 115.9153
## 756           asymmetric                                 115.9153
## 757           asymmetric                                 115.9153
## 758           asymmetric                                 115.9153
## 759           asymmetric                                 115.9153
## 760           asymmetric                                 115.9153
## 761           asymmetric                                 115.9153
## 762           asymmetric                                 115.9153
## 763           asymmetric                                 115.9153
## 764           asymmetric                                 115.9153
## 765           asymmetric                                 115.9153
## 766           asymmetric                                 115.9153
## 767           asymmetric                                 115.9153
## 768           asymmetric                                 115.9153
## 769           asymmetric                                 120.6473
## 770           asymmetric                                 120.6473
## 771           asymmetric                                 120.6473
## 772           asymmetric                                 120.6473
## 773           asymmetric                                 120.6473
## 774           asymmetric                                 120.6473
## 775           asymmetric                                 120.6473
## 776           asymmetric                                 120.6473
## 777           asymmetric                                 120.6473
## 778           asymmetric                                 120.6473
## 779           asymmetric                                 120.6473
## 780           asymmetric                                 120.6473
## 781           asymmetric                                 120.6473
## 782           asymmetric                                 120.6473
## 783           asymmetric                                 120.6473
## 784           asymmetric                                 120.6473
## 785           asymmetric                                 120.6473
## 786           asymmetric                                 120.6473
## 787           asymmetric                                 120.6473
## 788           asymmetric                                 120.6473
## 789           asymmetric                                 120.6473
## 790           asymmetric                                 120.6473
## 791           asymmetric                                 120.6473
## 792           asymmetric                                 120.6473
## 793           asymmetric                                 120.6473
## 794           asymmetric                                 120.6473
## 795           asymmetric                                 120.6473
## 796           asymmetric                                 120.6473
## 797           asymmetric                                 120.6473
## 798           asymmetric                                 120.6473
## 799           asymmetric                                 120.6473
## 800           asymmetric                                 120.6473
## 801           asymmetric                                 120.6473
## 802           asymmetric                                 120.6473
## 803           asymmetric                                 120.6473
## 804           asymmetric                                 120.6473
## 805           asymmetric                                 120.6473
## 806           asymmetric                                 120.6473
## 807           asymmetric                                 120.6473
## 808           asymmetric                                 120.6473
## 809           asymmetric                                 120.6473
## 810           asymmetric                                 120.6473
## 811           asymmetric                                 120.6473
## 812           asymmetric                                 120.6473
## 813           asymmetric                                 120.6473
## 814           asymmetric                                 120.6473
## 815           asymmetric                                 120.6473
## 816           asymmetric                                 120.6473
## 817           asymmetric                                 120.6473
## 818           asymmetric                                 120.6473
## 819           asymmetric                                 120.6473
## 820           asymmetric                                 120.6473
## 821           asymmetric                                 120.6473
## 822           asymmetric                                 120.6473
## 823           asymmetric                                 120.6473
## 824           asymmetric                                 120.6473
## 825           asymmetric                                 120.6473
## 826           asymmetric                                 120.6473
## 827           asymmetric                                 120.6473
## 828           asymmetric                                 120.6473
## 829           asymmetric                                 120.6473
## 830           asymmetric                                 120.6473
## 831           asymmetric                                 120.6473
## 832           asymmetric                                 120.6473
## 833           asymmetric                                 120.6473
## 834           asymmetric                                 120.6473
## 835           asymmetric                                 120.6473
## 836           asymmetric                                 120.6473
## 837           asymmetric                                 120.6473
## 838           asymmetric                                 120.6473
## 839           asymmetric                                 120.6473
## 840           asymmetric                                 120.6473
## 841           asymmetric                                 120.6473
## 842           asymmetric                                 120.6473
## 843           asymmetric                                 120.6473
## 844           asymmetric                                 120.6473
## 845           asymmetric                                 120.6473
## 846           asymmetric                                 120.6473
## 847           asymmetric                                 120.6473
## 848           asymmetric                                 120.6473
## 849           asymmetric                                 120.6473
## 850           asymmetric                                 120.6473
## 851           asymmetric                                 120.6473
## 852           asymmetric                                 120.6473
## 853           asymmetric                                 120.6473
## 854           asymmetric                                 120.6473
## 855           asymmetric                                 120.6473
## 856           asymmetric                                 120.6473
## 857           asymmetric                                 120.6473
## 858           asymmetric                                 120.6473
## 859           asymmetric                                 120.6473
## 860           asymmetric                                 120.6473
## 861           asymmetric                                 120.6473
## 862           asymmetric                                 120.6473
## 863           asymmetric                                 120.6473
## 864           asymmetric                                 120.6473
## 865           asymmetric                                 120.6473
## 866           asymmetric                                 120.6473
## 867           asymmetric                                 120.6473
## 868           asymmetric                                 120.6473
## 869           asymmetric                                 120.6473
## 870           asymmetric                                 120.6473
## 871           asymmetric                                 120.6473
## 872           asymmetric                                 120.6473
## 873           asymmetric                                 120.6473
## 874           asymmetric                                 120.6473
## 875           asymmetric                                 120.6473
## 876           asymmetric                                 120.6473
## 877           asymmetric                                 120.6473
## 878           asymmetric                                 120.6473
## 879           asymmetric                                 120.6473
## 880           asymmetric                                 120.6473
## 881           asymmetric                                 120.6473
## 882           asymmetric                                 120.6473
## 883           asymmetric                                 120.6473
## 884           asymmetric                                 120.6473
## 885           asymmetric                                 120.6473
## 886           asymmetric                                 120.6473
## 887           asymmetric                                 120.6473
## 888           asymmetric                                 120.6473
## 889           asymmetric                                 120.6473
## 890           asymmetric                                 120.6473
## 891           asymmetric                                 120.6473
## 892           asymmetric                                 120.6473
## 893           asymmetric                                 120.6473
## 894           asymmetric                                 120.6473
## 895           asymmetric                                 120.6473
## 896           asymmetric                                 120.6473
## 897           asymmetric                                 120.6473
## 898           asymmetric                                 120.6473
## 899           asymmetric                                 120.6473
## 900           asymmetric                                 120.6473
## 901           asymmetric                                 120.6473
## 902           asymmetric                                 120.6473
## 903           asymmetric                                 120.6473
## 904           asymmetric                                 120.6473
## 905           asymmetric                                 120.6473
## 906           asymmetric                                 120.6473
## 907           asymmetric                                 120.6473
## 908           asymmetric                                 120.6473
## 909           asymmetric                                 120.6473
## 910           asymmetric                                 120.6473
## 911           asymmetric                                 120.6473
## 912           asymmetric                                 120.6473
## 913           asymmetric                                 120.6473
## 914           asymmetric                                 120.6473
## 915           asymmetric                                 120.6473
## 916           asymmetric                                 120.6473
## 917           asymmetric                                 120.6473
## 918           asymmetric                                 120.6473
## 919           asymmetric                                 120.6473
## 920           asymmetric                                 120.6473
## 921           asymmetric                                 120.6473
## 922           asymmetric                                 120.6473
## 923           asymmetric                                 120.6473
## 924           asymmetric                                 120.6473
## 925           asymmetric                                 120.6473
## 926           asymmetric                                 120.6473
## 927           asymmetric                                 120.6473
## 928           asymmetric                                 120.6473
## 929           asymmetric                                 120.6473
## 930           asymmetric                                 120.6473
## 931           asymmetric                                 120.6473
## 932           asymmetric                                 120.6473
## 933           asymmetric                                 120.6473
## 934           asymmetric                                 120.6473
## 935           asymmetric                                 120.6473
## 936           asymmetric                                 120.6473
## 937           asymmetric                                 120.6473
## 938           asymmetric                                 120.6473
## 939           asymmetric                                 120.6473
## 940           asymmetric                                 120.6473
## 941           asymmetric                                 120.6473
## 942           asymmetric                                 120.6473
## 943           asymmetric                                 120.6473
## 944           asymmetric                                 120.6473
## 945           asymmetric                                 120.6473
## 946           asymmetric                                 120.6473
## 947           asymmetric                                 120.6473
## 948           asymmetric                                 120.6473
## 949           asymmetric                                 120.6473
## 950           asymmetric                                 120.6473
## 951           asymmetric                                 120.6473
## 952           asymmetric                                 120.6473
## 953           asymmetric                                 120.6473
## 954           asymmetric                                 120.6473
## 955           asymmetric                                 120.6473
## 956           asymmetric                                 120.6473
## 957           asymmetric                                 120.6473
## 958           asymmetric                                 120.6473
## 959           asymmetric                                 120.6473
## 960           asymmetric                                 120.6473
## 961           asymmetric                                 147.3015
## 962           asymmetric                                 147.3015
## 963           asymmetric                                 147.3015
## 964           asymmetric                                 147.3015
## 965           asymmetric                                 147.3015
## 966           asymmetric                                 147.3015
## 967           asymmetric                                 147.3015
## 968           asymmetric                                 147.3015
## 969           asymmetric                                 147.3015
## 970           asymmetric                                 147.3015
## 971           asymmetric                                 147.3015
## 972           asymmetric                                 147.3015
## 973           asymmetric                                 147.3015
## 974           asymmetric                                 147.3015
## 975           asymmetric                                 147.3015
## 976           asymmetric                                 147.3015
## 977           asymmetric                                 147.3015
## 978           asymmetric                                 147.3015
## 979           asymmetric                                 147.3015
## 980           asymmetric                                 147.3015
## 981           asymmetric                                 147.3015
## 982           asymmetric                                 147.3015
## 983           asymmetric                                 147.3015
## 984           asymmetric                                 147.3015
## 985           asymmetric                                 147.3015
## 986           asymmetric                                 147.3015
## 987           asymmetric                                 147.3015
## 988           asymmetric                                 147.3015
## 989           asymmetric                                 147.3015
## 990           asymmetric                                 147.3015
## 991           asymmetric                                 147.3015
## 992           asymmetric                                 147.3015
## 993           asymmetric                                 147.3015
## 994           asymmetric                                 147.3015
## 995           asymmetric                                 147.3015
## 996           asymmetric                                 147.3015
## 997           asymmetric                                 147.3015
## 998           asymmetric                                 147.3015
## 999           asymmetric                                 147.3015
## 1000          asymmetric                                 147.3015
## 1001          asymmetric                                 147.3015
## 1002          asymmetric                                 147.3015
## 1003          asymmetric                                 147.3015
## 1004          asymmetric                                 147.3015
## 1005          asymmetric                                 147.3015
## 1006          asymmetric                                 147.3015
## 1007          asymmetric                                 147.3015
## 1008          asymmetric                                 147.3015
## 1009          asymmetric                                 147.3015
## 1010          asymmetric                                 147.3015
## 1011          asymmetric                                 147.3015
## 1012          asymmetric                                 147.3015
## 1013          asymmetric                                 147.3015
## 1014          asymmetric                                 147.3015
## 1015          asymmetric                                 147.3015
## 1016          asymmetric                                 147.3015
## 1017          asymmetric                                 147.3015
## 1018          asymmetric                                 147.3015
## 1019          asymmetric                                 147.3015
## 1020          asymmetric                                 147.3015
## 1021          asymmetric                                 147.3015
## 1022          asymmetric                                 147.3015
## 1023          asymmetric                                 147.3015
## 1024          asymmetric                                 147.3015
## 1025          asymmetric                                 147.3015
## 1026          asymmetric                                 147.3015
## 1027          asymmetric                                 147.3015
## 1028          asymmetric                                 147.3015
## 1029          asymmetric                                 147.3015
## 1030          asymmetric                                 147.3015
## 1031          asymmetric                                 147.3015
## 1032          asymmetric                                 147.3015
## 1033          asymmetric                                 147.3015
## 1034          asymmetric                                 147.3015
## 1035          asymmetric                                 147.3015
## 1036          asymmetric                                 147.3015
## 1037          asymmetric                                 147.3015
## 1038          asymmetric                                 147.3015
## 1039          asymmetric                                 147.3015
## 1040          asymmetric                                 147.3015
## 1041          asymmetric                                 147.3015
## 1042          asymmetric                                 147.3015
## 1043          asymmetric                                 147.3015
## 1044          asymmetric                                 147.3015
## 1045          asymmetric                                 147.3015
## 1046          asymmetric                                 147.3015
## 1047          asymmetric                                 147.3015
## 1048          asymmetric                                 147.3015
## 1049          asymmetric                                 147.3015
## 1050          asymmetric                                 147.3015
## 1051          asymmetric                                 147.3015
## 1052          asymmetric                                 147.3015
## 1053          asymmetric                                 147.3015
## 1054          asymmetric                                 147.3015
## 1055          asymmetric                                 147.3015
## 1056          asymmetric                                 147.3015
## 1057          asymmetric                                 147.3015
## 1058          asymmetric                                 147.3015
## 1059          asymmetric                                 147.3015
## 1060          asymmetric                                 147.3015
## 1061          asymmetric                                 147.3015
## 1062          asymmetric                                 147.3015
## 1063          asymmetric                                 147.3015
## 1064          asymmetric                                 147.3015
## 1065          asymmetric                                 147.3015
## 1066          asymmetric                                 147.3015
## 1067          asymmetric                                 147.3015
## 1068          asymmetric                                 147.3015
## 1069          asymmetric                                 147.3015
## 1070          asymmetric                                 147.3015
## 1071          asymmetric                                 147.3015
## 1072          asymmetric                                 147.3015
## 1073          asymmetric                                 147.3015
## 1074          asymmetric                                 147.3015
## 1075          asymmetric                                 147.3015
## 1076          asymmetric                                 147.3015
## 1077          asymmetric                                 147.3015
## 1078          asymmetric                                 147.3015
## 1079          asymmetric                                 147.3015
## 1080          asymmetric                                 147.3015
## 1081          asymmetric                                 147.3015
## 1082          asymmetric                                 147.3015
## 1083          asymmetric                                 147.3015
## 1084          asymmetric                                 147.3015
## 1085          asymmetric                                 147.3015
## 1086          asymmetric                                 147.3015
## 1087          asymmetric                                 147.3015
## 1088          asymmetric                                 147.3015
## 1089          asymmetric                                 147.3015
## 1090          asymmetric                                 147.3015
## 1091          asymmetric                                 147.3015
## 1092          asymmetric                                 147.3015
## 1093          asymmetric                                 147.3015
## 1094          asymmetric                                 147.3015
## 1095          asymmetric                                 147.3015
## 1096          asymmetric                                 147.3015
## 1097          asymmetric                                 147.3015
## 1098          asymmetric                                 147.3015
## 1099          asymmetric                                 147.3015
## 1100          asymmetric                                 147.3015
## 1101          asymmetric                                 147.3015
## 1102          asymmetric                                 147.3015
## 1103          asymmetric                                 147.3015
## 1104          asymmetric                                 147.3015
## 1105          asymmetric                                 147.3015
## 1106          asymmetric                                 147.3015
## 1107          asymmetric                                 147.3015
## 1108          asymmetric                                 147.3015
## 1109          asymmetric                                 147.3015
## 1110          asymmetric                                 147.3015
## 1111          asymmetric                                 147.3015
## 1112          asymmetric                                 147.3015
## 1113          asymmetric                                 147.3015
## 1114          asymmetric                                 147.3015
## 1115          asymmetric                                 147.3015
## 1116          asymmetric                                 147.3015
## 1117          asymmetric                                 147.3015
## 1118          asymmetric                                 147.3015
## 1119          asymmetric                                 147.3015
## 1120          asymmetric                                 147.3015
## 1121          asymmetric                                 147.3015
## 1122          asymmetric                                 147.3015
## 1123          asymmetric                                 147.3015
## 1124          asymmetric                                 147.3015
## 1125          asymmetric                                 147.3015
## 1126          asymmetric                                 147.3015
## 1127          asymmetric                                 147.3015
## 1128          asymmetric                                 147.3015
## 1129          asymmetric                                 147.3015
## 1130          asymmetric                                 147.3015
## 1131          asymmetric                                 147.3015
## 1132          asymmetric                                 147.3015
## 1133          asymmetric                                 147.3015
## 1134          asymmetric                                 147.3015
## 1135          asymmetric                                 147.3015
## 1136          asymmetric                                 147.3015
## 1137          asymmetric                                 147.3015
## 1138          asymmetric                                 147.3015
## 1139          asymmetric                                 147.3015
## 1140          asymmetric                                 147.3015
## 1141          asymmetric                                 147.3015
## 1142          asymmetric                                 147.3015
## 1143          asymmetric                                 147.3015
## 1144          asymmetric                                 147.3015
## 1145          asymmetric                                 147.3015
## 1146          asymmetric                                 147.3015
## 1147          asymmetric                                 147.3015
## 1148          asymmetric                                 147.3015
## 1149          asymmetric                                 147.3015
## 1150          asymmetric                                 147.3015
## 1151          asymmetric                                 147.3015
## 1152          asymmetric                                 147.3015
## 1153          asymmetric                                 224.1733
## 1154          asymmetric                                 224.1733
## 1155          asymmetric                                 224.1733
## 1156          asymmetric                                 224.1733
## 1157          asymmetric                                 224.1733
## 1158          asymmetric                                 224.1733
## 1159          asymmetric                                 224.1733
## 1160          asymmetric                                 224.1733
## 1161          asymmetric                                 224.1733
## 1162          asymmetric                                 224.1733
## 1163          asymmetric                                 224.1733
## 1164          asymmetric                                 224.1733
## 1165          asymmetric                                 224.1733
## 1166          asymmetric                                 224.1733
## 1167          asymmetric                                 224.1733
## 1168          asymmetric                                 224.1733
## 1169          asymmetric                                 224.1733
## 1170          asymmetric                                 224.1733
## 1171          asymmetric                                 224.1733
## 1172          asymmetric                                 224.1733
## 1173          asymmetric                                 224.1733
## 1174          asymmetric                                 224.1733
## 1175          asymmetric                                 224.1733
## 1176          asymmetric                                 224.1733
## 1177          asymmetric                                 224.1733
## 1178          asymmetric                                 224.1733
## 1179          asymmetric                                 224.1733
## 1180          asymmetric                                 224.1733
## 1181          asymmetric                                 224.1733
## 1182          asymmetric                                 224.1733
## 1183          asymmetric                                 224.1733
## 1184          asymmetric                                 224.1733
## 1185          asymmetric                                 224.1733
## 1186          asymmetric                                 224.1733
## 1187          asymmetric                                 224.1733
## 1188          asymmetric                                 224.1733
## 1189          asymmetric                                 224.1733
## 1190          asymmetric                                 224.1733
## 1191          asymmetric                                 224.1733
## 1192          asymmetric                                 224.1733
## 1193          asymmetric                                 224.1733
## 1194          asymmetric                                 224.1733
## 1195          asymmetric                                 224.1733
## 1196          asymmetric                                 224.1733
## 1197          asymmetric                                 224.1733
## 1198          asymmetric                                 224.1733
## 1199          asymmetric                                 224.1733
## 1200          asymmetric                                 224.1733
## 1201          asymmetric                                 224.1733
## 1202          asymmetric                                 224.1733
## 1203          asymmetric                                 224.1733
## 1204          asymmetric                                 224.1733
## 1205          asymmetric                                 224.1733
## 1206          asymmetric                                 224.1733
## 1207          asymmetric                                 224.1733
## 1208          asymmetric                                 224.1733
## 1209          asymmetric                                 224.1733
## 1210          asymmetric                                 224.1733
## 1211          asymmetric                                 224.1733
## 1212          asymmetric                                 224.1733
## 1213          asymmetric                                 224.1733
## 1214          asymmetric                                 224.1733
## 1215          asymmetric                                 224.1733
## 1216          asymmetric                                 224.1733
## 1217          asymmetric                                 224.1733
## 1218          asymmetric                                 224.1733
## 1219          asymmetric                                 224.1733
## 1220          asymmetric                                 224.1733
## 1221          asymmetric                                 224.1733
## 1222          asymmetric                                 224.1733
## 1223          asymmetric                                 224.1733
## 1224          asymmetric                                 224.1733
## 1225          asymmetric                                 224.1733
## 1226          asymmetric                                 224.1733
## 1227          asymmetric                                 224.1733
## 1228          asymmetric                                 224.1733
## 1229          asymmetric                                 224.1733
## 1230          asymmetric                                 224.1733
## 1231          asymmetric                                 224.1733
## 1232          asymmetric                                 224.1733
## 1233          asymmetric                                 224.1733
## 1234          asymmetric                                 224.1733
## 1235          asymmetric                                 224.1733
## 1236          asymmetric                                 224.1733
## 1237          asymmetric                                 224.1733
## 1238          asymmetric                                 224.1733
## 1239          asymmetric                                 224.1733
## 1240          asymmetric                                 224.1733
## 1241          asymmetric                                 224.1733
## 1242          asymmetric                                 224.1733
## 1243          asymmetric                                 224.1733
## 1244          asymmetric                                 224.1733
## 1245          asymmetric                                 224.1733
## 1246          asymmetric                                 224.1733
## 1247          asymmetric                                 224.1733
## 1248          asymmetric                                 224.1733
## 1249          asymmetric                                 224.1733
## 1250          asymmetric                                 224.1733
## 1251          asymmetric                                 224.1733
## 1252          asymmetric                                 224.1733
## 1253          asymmetric                                 224.1733
## 1254          asymmetric                                 224.1733
## 1255          asymmetric                                 224.1733
## 1256          asymmetric                                 224.1733
## 1257          asymmetric                                 224.1733
## 1258          asymmetric                                 224.1733
## 1259          asymmetric                                 224.1733
## 1260          asymmetric                                 224.1733
## 1261          asymmetric                                 224.1733
## 1262          asymmetric                                 224.1733
## 1263          asymmetric                                 224.1733
## 1264          asymmetric                                 224.1733
## 1265          asymmetric                                 224.1733
## 1266          asymmetric                                 224.1733
## 1267          asymmetric                                 224.1733
## 1268          asymmetric                                 224.1733
## 1269          asymmetric                                 224.1733
## 1270          asymmetric                                 224.1733
## 1271          asymmetric                                 224.1733
## 1272          asymmetric                                 224.1733
## 1273          asymmetric                                 224.1733
## 1274          asymmetric                                 224.1733
## 1275          asymmetric                                 224.1733
## 1276          asymmetric                                 224.1733
## 1277          asymmetric                                 224.1733
## 1278          asymmetric                                 224.1733
## 1279          asymmetric                                 224.1733
## 1280          asymmetric                                 224.1733
## 1281          asymmetric                                 224.1733
## 1282          asymmetric                                 224.1733
## 1283          asymmetric                                 224.1733
## 1284          asymmetric                                 224.1733
## 1285          asymmetric                                 224.1733
## 1286          asymmetric                                 224.1733
## 1287          asymmetric                                 224.1733
## 1288          asymmetric                                 224.1733
## 1289          asymmetric                                 224.1733
## 1290          asymmetric                                 224.1733
## 1291          asymmetric                                 224.1733
## 1292          asymmetric                                 224.1733
## 1293          asymmetric                                 224.1733
## 1294          asymmetric                                 224.1733
## 1295          asymmetric                                 224.1733
## 1296          asymmetric                                 224.1733
## 1297          asymmetric                                 224.1733
## 1298          asymmetric                                 224.1733
## 1299          asymmetric                                 224.1733
## 1300          asymmetric                                 224.1733
## 1301          asymmetric                                 224.1733
## 1302          asymmetric                                 224.1733
## 1303          asymmetric                                 224.1733
## 1304          asymmetric                                 224.1733
## 1305          asymmetric                                 224.1733
## 1306          asymmetric                                 224.1733
## 1307          asymmetric                                 224.1733
## 1308          asymmetric                                 224.1733
## 1309          asymmetric                                 224.1733
## 1310          asymmetric                                 224.1733
## 1311          asymmetric                                 224.1733
## 1312          asymmetric                                 224.1733
## 1313          asymmetric                                 224.1733
## 1314          asymmetric                                 224.1733
## 1315          asymmetric                                 224.1733
## 1316          asymmetric                                 224.1733
## 1317          asymmetric                                 224.1733
## 1318          asymmetric                                 224.1733
## 1319          asymmetric                                 224.1733
## 1320          asymmetric                                 224.1733
## 1321          asymmetric                                 224.1733
## 1322          asymmetric                                 224.1733
## 1323          asymmetric                                 224.1733
## 1324          asymmetric                                 224.1733
## 1325          asymmetric                                 224.1733
## 1326          asymmetric                                 224.1733
## 1327          asymmetric                                 224.1733
## 1328          asymmetric                                 224.1733
## 1329          asymmetric                                 224.1733
## 1330          asymmetric                                 224.1733
## 1331          asymmetric                                 224.1733
## 1332          asymmetric                                 224.1733
## 1333          asymmetric                                 224.1733
## 1334          asymmetric                                 224.1733
## 1335          asymmetric                                 224.1733
## 1336          asymmetric                                 224.1733
## 1337          asymmetric                                 224.1733
## 1338          asymmetric                                 224.1733
## 1339          asymmetric                                 224.1733
## 1340          asymmetric                                 224.1733
## 1341          asymmetric                                 224.1733
## 1342          asymmetric                                 224.1733
## 1343          asymmetric                                 224.1733
## 1344          asymmetric                                 224.1733
## 1345          asymmetric                                 178.8893
## 1346          asymmetric                                 178.8893
## 1347          asymmetric                                 178.8893
## 1348          asymmetric                                 178.8893
## 1349          asymmetric                                 178.8893
## 1350          asymmetric                                 178.8893
## 1351          asymmetric                                 178.8893
## 1352          asymmetric                                 178.8893
## 1353          asymmetric                                 178.8893
## 1354          asymmetric                                 178.8893
## 1355          asymmetric                                 178.8893
## 1356          asymmetric                                 178.8893
## 1357          asymmetric                                 178.8893
## 1358          asymmetric                                 178.8893
## 1359          asymmetric                                 178.8893
## 1360          asymmetric                                 178.8893
## 1361          asymmetric                                 178.8893
## 1362          asymmetric                                 178.8893
## 1363          asymmetric                                 178.8893
## 1364          asymmetric                                 178.8893
## 1365          asymmetric                                 178.8893
## 1366          asymmetric                                 178.8893
## 1367          asymmetric                                 178.8893
## 1368          asymmetric                                 178.8893
## 1369          asymmetric                                 178.8893
## 1370          asymmetric                                 178.8893
## 1371          asymmetric                                 178.8893
## 1372          asymmetric                                 178.8893
## 1373          asymmetric                                 178.8893
## 1374          asymmetric                                 178.8893
## 1375          asymmetric                                 178.8893
## 1376          asymmetric                                 178.8893
## 1377          asymmetric                                 178.8893
## 1378          asymmetric                                 178.8893
## 1379          asymmetric                                 178.8893
## 1380          asymmetric                                 178.8893
## 1381          asymmetric                                 178.8893
## 1382          asymmetric                                 178.8893
## 1383          asymmetric                                 178.8893
## 1384          asymmetric                                 178.8893
## 1385          asymmetric                                 178.8893
## 1386          asymmetric                                 178.8893
## 1387          asymmetric                                 178.8893
## 1388          asymmetric                                 178.8893
## 1389          asymmetric                                 178.8893
## 1390          asymmetric                                 178.8893
## 1391          asymmetric                                 178.8893
## 1392          asymmetric                                 178.8893
## 1393          asymmetric                                 178.8893
## 1394          asymmetric                                 178.8893
## 1395          asymmetric                                 178.8893
## 1396          asymmetric                                 178.8893
## 1397          asymmetric                                 178.8893
## 1398          asymmetric                                 178.8893
## 1399          asymmetric                                 178.8893
## 1400          asymmetric                                 178.8893
## 1401          asymmetric                                 178.8893
## 1402          asymmetric                                 178.8893
## 1403          asymmetric                                 178.8893
## 1404          asymmetric                                 178.8893
## 1405          asymmetric                                 178.8893
## 1406          asymmetric                                 178.8893
## 1407          asymmetric                                 178.8893
## 1408          asymmetric                                 178.8893
## 1409          asymmetric                                 178.8893
## 1410          asymmetric                                 178.8893
## 1411          asymmetric                                 178.8893
## 1412          asymmetric                                 178.8893
## 1413          asymmetric                                 178.8893
## 1414          asymmetric                                 178.8893
## 1415          asymmetric                                 178.8893
## 1416          asymmetric                                 178.8893
## 1417          asymmetric                                 178.8893
## 1418          asymmetric                                 178.8893
## 1419          asymmetric                                 178.8893
## 1420          asymmetric                                 178.8893
## 1421          asymmetric                                 178.8893
## 1422          asymmetric                                 178.8893
## 1423          asymmetric                                 178.8893
## 1424          asymmetric                                 178.8893
## 1425          asymmetric                                 178.8893
## 1426          asymmetric                                 178.8893
## 1427          asymmetric                                 178.8893
## 1428          asymmetric                                 178.8893
## 1429          asymmetric                                 178.8893
## 1430          asymmetric                                 178.8893
## 1431          asymmetric                                 178.8893
## 1432          asymmetric                                 178.8893
## 1433          asymmetric                                 178.8893
## 1434          asymmetric                                 178.8893
## 1435          asymmetric                                 178.8893
## 1436          asymmetric                                 178.8893
## 1437          asymmetric                                 178.8893
## 1438          asymmetric                                 178.8893
## 1439          asymmetric                                 178.8893
## 1440          asymmetric                                 178.8893
## 1441          asymmetric                                 178.8893
## 1442          asymmetric                                 178.8893
## 1443          asymmetric                                 178.8893
## 1444          asymmetric                                 178.8893
## 1445          asymmetric                                 178.8893
## 1446          asymmetric                                 178.8893
## 1447          asymmetric                                 178.8893
## 1448          asymmetric                                 178.8893
## 1449          asymmetric                                 178.8893
## 1450          asymmetric                                 178.8893
## 1451          asymmetric                                 178.8893
## 1452          asymmetric                                 178.8893
## 1453          asymmetric                                 178.8893
## 1454          asymmetric                                 178.8893
## 1455          asymmetric                                 178.8893
## 1456          asymmetric                                 178.8893
## 1457          asymmetric                                 178.8893
## 1458          asymmetric                                 178.8893
## 1459          asymmetric                                 178.8893
## 1460          asymmetric                                 178.8893
## 1461          asymmetric                                 178.8893
## 1462          asymmetric                                 178.8893
## 1463          asymmetric                                 178.8893
## 1464          asymmetric                                 178.8893
## 1465          asymmetric                                 178.8893
## 1466          asymmetric                                 178.8893
## 1467          asymmetric                                 178.8893
## 1468          asymmetric                                 178.8893
## 1469          asymmetric                                 178.8893
## 1470          asymmetric                                 178.8893
## 1471          asymmetric                                 178.8893
## 1472          asymmetric                                 178.8893
## 1473          asymmetric                                 178.8893
## 1474          asymmetric                                 178.8893
## 1475          asymmetric                                 178.8893
## 1476          asymmetric                                 178.8893
## 1477          asymmetric                                 178.8893
## 1478          asymmetric                                 178.8893
## 1479          asymmetric                                 178.8893
## 1480          asymmetric                                 178.8893
## 1481          asymmetric                                 178.8893
## 1482          asymmetric                                 178.8893
## 1483          asymmetric                                 178.8893
## 1484          asymmetric                                 178.8893
## 1485          asymmetric                                 178.8893
## 1486          asymmetric                                 178.8893
## 1487          asymmetric                                 178.8893
## 1488          asymmetric                                 178.8893
## 1489          asymmetric                                 178.8893
## 1490          asymmetric                                 178.8893
## 1491          asymmetric                                 178.8893
## 1492          asymmetric                                 178.8893
## 1493          asymmetric                                 178.8893
## 1494          asymmetric                                 178.8893
## 1495          asymmetric                                 178.8893
## 1496          asymmetric                                 178.8893
## 1497          asymmetric                                 178.8893
## 1498          asymmetric                                 178.8893
## 1499          asymmetric                                 178.8893
## 1500          asymmetric                                 178.8893
## 1501          asymmetric                                 178.8893
## 1502          asymmetric                                 178.8893
## 1503          asymmetric                                 178.8893
## 1504          asymmetric                                 178.8893
## 1505          asymmetric                                 178.8893
## 1506          asymmetric                                 178.8893
## 1507          asymmetric                                 178.8893
## 1508          asymmetric                                 178.8893
## 1509          asymmetric                                 178.8893
## 1510          asymmetric                                 178.8893
## 1511          asymmetric                                 178.8893
## 1512          asymmetric                                 178.8893
## 1513          asymmetric                                 178.8893
## 1514          asymmetric                                 178.8893
## 1515          asymmetric                                 178.8893
## 1516          asymmetric                                 178.8893
## 1517          asymmetric                                 178.8893
## 1518          asymmetric                                 178.8893
## 1519          asymmetric                                 178.8893
## 1520          asymmetric                                 178.8893
## 1521          asymmetric                                 178.8893
## 1522          asymmetric                                 178.8893
## 1523          asymmetric                                 178.8893
## 1524          asymmetric                                 178.8893
## 1525          asymmetric                                 178.8893
## 1526          asymmetric                                 178.8893
## 1527          asymmetric                                 178.8893
## 1528          asymmetric                                 178.8893
## 1529          asymmetric                                 178.8893
## 1530          asymmetric                                 178.8893
## 1531          asymmetric                                 178.8893
## 1532          asymmetric                                 178.8893
## 1533          asymmetric                                 178.8893
## 1534          asymmetric                                 178.8893
## 1535          asymmetric                                 178.8893
## 1536          asymmetric                                 178.8893
## 1537          asymmetric                                 110.3085
## 1538          asymmetric                                 110.3085
## 1539          asymmetric                                 110.3085
## 1540          asymmetric                                 110.3085
## 1541          asymmetric                                 110.3085
## 1542          asymmetric                                 110.3085
## 1543          asymmetric                                 110.3085
## 1544          asymmetric                                 110.3085
## 1545          asymmetric                                 110.3085
## 1546          asymmetric                                 110.3085
## 1547          asymmetric                                 110.3085
## 1548          asymmetric                                 110.3085
## 1549          asymmetric                                 110.3085
## 1550          asymmetric                                 110.3085
## 1551          asymmetric                                 110.3085
## 1552          asymmetric                                 110.3085
## 1553          asymmetric                                 110.3085
## 1554          asymmetric                                 110.3085
## 1555          asymmetric                                 110.3085
## 1556          asymmetric                                 110.3085
## 1557          asymmetric                                 110.3085
## 1558          asymmetric                                 110.3085
## 1559          asymmetric                                 110.3085
## 1560          asymmetric                                 110.3085
## 1561          asymmetric                                 110.3085
## 1562          asymmetric                                 110.3085
## 1563          asymmetric                                 110.3085
## 1564          asymmetric                                 110.3085
## 1565          asymmetric                                 110.3085
## 1566          asymmetric                                 110.3085
## 1567          asymmetric                                 110.3085
## 1568          asymmetric                                 110.3085
## 1569          asymmetric                                 110.3085
## 1570          asymmetric                                 110.3085
## 1571          asymmetric                                 110.3085
## 1572          asymmetric                                 110.3085
## 1573          asymmetric                                 110.3085
## 1574          asymmetric                                 110.3085
## 1575          asymmetric                                 110.3085
## 1576          asymmetric                                 110.3085
## 1577          asymmetric                                 110.3085
## 1578          asymmetric                                 110.3085
## 1579          asymmetric                                 110.3085
## 1580          asymmetric                                 110.3085
## 1581          asymmetric                                 110.3085
## 1582          asymmetric                                 110.3085
## 1583          asymmetric                                 110.3085
## 1584          asymmetric                                 110.3085
## 1585          asymmetric                                 110.3085
## 1586          asymmetric                                 110.3085
## 1587          asymmetric                                 110.3085
## 1588          asymmetric                                 110.3085
## 1589          asymmetric                                 110.3085
## 1590          asymmetric                                 110.3085
## 1591          asymmetric                                 110.3085
## 1592          asymmetric                                 110.3085
## 1593          asymmetric                                 110.3085
## 1594          asymmetric                                 110.3085
## 1595          asymmetric                                 110.3085
## 1596          asymmetric                                 110.3085
## 1597          asymmetric                                 110.3085
## 1598          asymmetric                                 110.3085
## 1599          asymmetric                                 110.3085
## 1600          asymmetric                                 110.3085
## 1601          asymmetric                                 110.3085
## 1602          asymmetric                                 110.3085
## 1603          asymmetric                                 110.3085
## 1604          asymmetric                                 110.3085
## 1605          asymmetric                                 110.3085
## 1606          asymmetric                                 110.3085
## 1607          asymmetric                                 110.3085
## 1608          asymmetric                                 110.3085
## 1609          asymmetric                                 110.3085
## 1610          asymmetric                                 110.3085
## 1611          asymmetric                                 110.3085
## 1612          asymmetric                                 110.3085
## 1613          asymmetric                                 110.3085
## 1614          asymmetric                                 110.3085
## 1615          asymmetric                                 110.3085
## 1616          asymmetric                                 110.3085
## 1617          asymmetric                                 110.3085
## 1618          asymmetric                                 110.3085
## 1619          asymmetric                                 110.3085
## 1620          asymmetric                                 110.3085
## 1621          asymmetric                                 110.3085
## 1622          asymmetric                                 110.3085
## 1623          asymmetric                                 110.3085
## 1624          asymmetric                                 110.3085
## 1625          asymmetric                                 110.3085
## 1626          asymmetric                                 110.3085
## 1627          asymmetric                                 110.3085
## 1628          asymmetric                                 110.3085
## 1629          asymmetric                                 110.3085
## 1630          asymmetric                                 110.3085
## 1631          asymmetric                                 110.3085
## 1632          asymmetric                                 110.3085
## 1633          asymmetric                                 110.3085
## 1634          asymmetric                                 110.3085
## 1635          asymmetric                                 110.3085
## 1636          asymmetric                                 110.3085
## 1637          asymmetric                                 110.3085
## 1638          asymmetric                                 110.3085
## 1639          asymmetric                                 110.3085
## 1640          asymmetric                                 110.3085
## 1641          asymmetric                                 110.3085
## 1642          asymmetric                                 110.3085
## 1643          asymmetric                                 110.3085
## 1644          asymmetric                                 110.3085
## 1645          asymmetric                                 110.3085
## 1646          asymmetric                                 110.3085
## 1647          asymmetric                                 110.3085
## 1648          asymmetric                                 110.3085
## 1649          asymmetric                                 110.3085
## 1650          asymmetric                                 110.3085
## 1651          asymmetric                                 110.3085
## 1652          asymmetric                                 110.3085
## 1653          asymmetric                                 110.3085
## 1654          asymmetric                                 110.3085
## 1655          asymmetric                                 110.3085
## 1656          asymmetric                                 110.3085
## 1657          asymmetric                                 110.3085
## 1658          asymmetric                                 110.3085
## 1659          asymmetric                                 110.3085
## 1660          asymmetric                                 110.3085
## 1661          asymmetric                                 110.3085
## 1662          asymmetric                                 110.3085
## 1663          asymmetric                                 110.3085
## 1664          asymmetric                                 110.3085
## 1665          asymmetric                                 110.3085
## 1666          asymmetric                                 110.3085
## 1667          asymmetric                                 110.3085
## 1668          asymmetric                                 110.3085
## 1669          asymmetric                                 110.3085
## 1670          asymmetric                                 110.3085
## 1671          asymmetric                                 110.3085
## 1672          asymmetric                                 110.3085
## 1673          asymmetric                                 110.3085
## 1674          asymmetric                                 110.3085
## 1675          asymmetric                                 110.3085
## 1676          asymmetric                                 110.3085
## 1677          asymmetric                                 110.3085
## 1678          asymmetric                                 110.3085
## 1679          asymmetric                                 110.3085
## 1680          asymmetric                                 110.3085
## 1681          asymmetric                                 110.3085
## 1682          asymmetric                                 110.3085
## 1683          asymmetric                                 110.3085
## 1684          asymmetric                                 110.3085
## 1685          asymmetric                                 110.3085
## 1686          asymmetric                                 110.3085
## 1687          asymmetric                                 110.3085
## 1688          asymmetric                                 110.3085
## 1689          asymmetric                                 110.3085
## 1690          asymmetric                                 110.3085
## 1691          asymmetric                                 110.3085
## 1692          asymmetric                                 110.3085
## 1693          asymmetric                                 110.3085
## 1694          asymmetric                                 110.3085
## 1695          asymmetric                                 110.3085
## 1696          asymmetric                                 110.3085
## 1697          asymmetric                                 110.3085
## 1698          asymmetric                                 110.3085
## 1699          asymmetric                                 110.3085
## 1700          asymmetric                                 110.3085
## 1701          asymmetric                                 110.3085
## 1702          asymmetric                                 110.3085
## 1703          asymmetric                                 110.3085
## 1704          asymmetric                                 110.3085
## 1705          asymmetric                                 110.3085
## 1706          asymmetric                                 110.3085
## 1707          asymmetric                                 110.3085
## 1708          asymmetric                                 110.3085
## 1709          asymmetric                                 110.3085
## 1710          asymmetric                                 110.3085
## 1711          asymmetric                                 110.3085
## 1712          asymmetric                                 110.3085
## 1713          asymmetric                                 110.3085
## 1714          asymmetric                                 110.3085
## 1715          asymmetric                                 110.3085
## 1716          asymmetric                                 110.3085
## 1717          asymmetric                                 110.3085
## 1718          asymmetric                                 110.3085
## 1719          asymmetric                                 110.3085
## 1720          asymmetric                                 110.3085
## 1721          asymmetric                                 110.3085
## 1722          asymmetric                                 110.3085
## 1723          asymmetric                                 110.3085
## 1724          asymmetric                                 110.3085
## 1725          asymmetric                                 110.3085
## 1726          asymmetric                                 110.3085
## 1727          asymmetric                                 110.3085
## 1728          asymmetric                                 110.3085
## 1729          asymmetric                                 115.0404
## 1730          asymmetric                                 115.0404
## 1731          asymmetric                                 115.0404
## 1732          asymmetric                                 115.0404
## 1733          asymmetric                                 115.0404
## 1734          asymmetric                                 115.0404
## 1735          asymmetric                                 115.0404
## 1736          asymmetric                                 115.0404
## 1737          asymmetric                                 115.0404
## 1738          asymmetric                                 115.0404
## 1739          asymmetric                                 115.0404
## 1740          asymmetric                                 115.0404
## 1741          asymmetric                                 115.0404
## 1742          asymmetric                                 115.0404
## 1743          asymmetric                                 115.0404
## 1744          asymmetric                                 115.0404
## 1745          asymmetric                                 115.0404
## 1746          asymmetric                                 115.0404
## 1747          asymmetric                                 115.0404
## 1748          asymmetric                                 115.0404
## 1749          asymmetric                                 115.0404
## 1750          asymmetric                                 115.0404
## 1751          asymmetric                                 115.0404
## 1752          asymmetric                                 115.0404
## 1753          asymmetric                                 115.0404
## 1754          asymmetric                                 115.0404
## 1755          asymmetric                                 115.0404
## 1756          asymmetric                                 115.0404
## 1757          asymmetric                                 115.0404
## 1758          asymmetric                                 115.0404
## 1759          asymmetric                                 115.0404
## 1760          asymmetric                                 115.0404
## 1761          asymmetric                                 115.0404
## 1762          asymmetric                                 115.0404
## 1763          asymmetric                                 115.0404
## 1764          asymmetric                                 115.0404
## 1765          asymmetric                                 115.0404
## 1766          asymmetric                                 115.0404
## 1767          asymmetric                                 115.0404
## 1768          asymmetric                                 115.0404
## 1769          asymmetric                                 115.0404
## 1770          asymmetric                                 115.0404
## 1771          asymmetric                                 115.0404
## 1772          asymmetric                                 115.0404
## 1773          asymmetric                                 115.0404
## 1774          asymmetric                                 115.0404
## 1775          asymmetric                                 115.0404
## 1776          asymmetric                                 115.0404
## 1777          asymmetric                                 115.0404
## 1778          asymmetric                                 115.0404
## 1779          asymmetric                                 115.0404
## 1780          asymmetric                                 115.0404
## 1781          asymmetric                                 115.0404
## 1782          asymmetric                                 115.0404
## 1783          asymmetric                                 115.0404
## 1784          asymmetric                                 115.0404
## 1785          asymmetric                                 115.0404
## 1786          asymmetric                                 115.0404
## 1787          asymmetric                                 115.0404
## 1788          asymmetric                                 115.0404
## 1789          asymmetric                                 115.0404
## 1790          asymmetric                                 115.0404
## 1791          asymmetric                                 115.0404
## 1792          asymmetric                                 115.0404
## 1793          asymmetric                                 115.0404
## 1794          asymmetric                                 115.0404
## 1795          asymmetric                                 115.0404
## 1796          asymmetric                                 115.0404
## 1797          asymmetric                                 115.0404
## 1798          asymmetric                                 115.0404
## 1799          asymmetric                                 115.0404
## 1800          asymmetric                                 115.0404
## 1801          asymmetric                                 115.0404
## 1802          asymmetric                                 115.0404
## 1803          asymmetric                                 115.0404
## 1804          asymmetric                                 115.0404
## 1805          asymmetric                                 115.0404
## 1806          asymmetric                                 115.0404
## 1807          asymmetric                                 115.0404
## 1808          asymmetric                                 115.0404
## 1809          asymmetric                                 115.0404
## 1810          asymmetric                                 115.0404
## 1811          asymmetric                                 115.0404
## 1812          asymmetric                                 115.0404
## 1813          asymmetric                                 115.0404
## 1814          asymmetric                                 115.0404
## 1815          asymmetric                                 115.0404
## 1816          asymmetric                                 115.0404
## 1817          asymmetric                                 115.0404
## 1818          asymmetric                                 115.0404
## 1819          asymmetric                                 115.0404
## 1820          asymmetric                                 115.0404
## 1821          asymmetric                                 115.0404
## 1822          asymmetric                                 115.0404
## 1823          asymmetric                                 115.0404
## 1824          asymmetric                                 115.0404
## 1825          asymmetric                                 115.0404
## 1826          asymmetric                                 115.0404
## 1827          asymmetric                                 115.0404
## 1828          asymmetric                                 115.0404
## 1829          asymmetric                                 115.0404
## 1830          asymmetric                                 115.0404
## 1831          asymmetric                                 115.0404
## 1832          asymmetric                                 115.0404
## 1833          asymmetric                                 115.0404
## 1834          asymmetric                                 115.0404
## 1835          asymmetric                                 115.0404
## 1836          asymmetric                                 115.0404
## 1837          asymmetric                                 115.0404
## 1838          asymmetric                                 115.0404
## 1839          asymmetric                                 115.0404
## 1840          asymmetric                                 115.0404
## 1841          asymmetric                                 115.0404
## 1842          asymmetric                                 115.0404
## 1843          asymmetric                                 115.0404
## 1844          asymmetric                                 115.0404
## 1845          asymmetric                                 115.0404
## 1846          asymmetric                                 115.0404
## 1847          asymmetric                                 115.0404
## 1848          asymmetric                                 115.0404
## 1849          asymmetric                                 115.0404
## 1850          asymmetric                                 115.0404
## 1851          asymmetric                                 115.0404
## 1852          asymmetric                                 115.0404
## 1853          asymmetric                                 115.0404
## 1854          asymmetric                                 115.0404
## 1855          asymmetric                                 115.0404
## 1856          asymmetric                                 115.0404
## 1857          asymmetric                                 115.0404
## 1858          asymmetric                                 115.0404
## 1859          asymmetric                                 115.0404
## 1860          asymmetric                                 115.0404
## 1861          asymmetric                                 115.0404
## 1862          asymmetric                                 115.0404
## 1863          asymmetric                                 115.0404
## 1864          asymmetric                                 115.0404
## 1865          asymmetric                                 115.0404
## 1866          asymmetric                                 115.0404
## 1867          asymmetric                                 115.0404
## 1868          asymmetric                                 115.0404
## 1869          asymmetric                                 115.0404
## 1870          asymmetric                                 115.0404
## 1871          asymmetric                                 115.0404
## 1872          asymmetric                                 115.0404
## 1873          asymmetric                                 115.0404
## 1874          asymmetric                                 115.0404
## 1875          asymmetric                                 115.0404
## 1876          asymmetric                                 115.0404
## 1877          asymmetric                                 115.0404
## 1878          asymmetric                                 115.0404
## 1879          asymmetric                                 115.0404
## 1880          asymmetric                                 115.0404
## 1881          asymmetric                                 115.0404
## 1882          asymmetric                                 115.0404
## 1883          asymmetric                                 115.0404
## 1884          asymmetric                                 115.0404
## 1885          asymmetric                                 115.0404
## 1886          asymmetric                                 115.0404
## 1887          asymmetric                                 115.0404
## 1888          asymmetric                                 115.0404
## 1889          asymmetric                                 115.0404
## 1890          asymmetric                                 115.0404
## 1891          asymmetric                                 115.0404
## 1892          asymmetric                                 115.0404
## 1893          asymmetric                                 115.0404
## 1894          asymmetric                                 115.0404
## 1895          asymmetric                                 115.0404
## 1896          asymmetric                                 115.0404
## 1897          asymmetric                                 115.0404
## 1898          asymmetric                                 115.0404
## 1899          asymmetric                                 115.0404
## 1900          asymmetric                                 115.0404
## 1901          asymmetric                                 115.0404
## 1902          asymmetric                                 115.0404
## 1903          asymmetric                                 115.0404
## 1904          asymmetric                                 115.0404
## 1905          asymmetric                                 115.0404
## 1906          asymmetric                                 115.0404
## 1907          asymmetric                                 115.0404
## 1908          asymmetric                                 115.0404
## 1909          asymmetric                                 115.0404
## 1910          asymmetric                                 115.0404
## 1911          asymmetric                                 115.0404
## 1912          asymmetric                                 115.0404
## 1913          asymmetric                                 115.0404
## 1914          asymmetric                                 115.0404
## 1915          asymmetric                                 115.0404
## 1916          asymmetric                                 115.0404
## 1917          asymmetric                                 115.0404
## 1918          asymmetric                                 115.0404
## 1919          asymmetric                                 115.0404
## 1920          asymmetric                                 115.0404
## 1921          asymmetric                                 151.3969
## 1922          asymmetric                                 151.3969
## 1923          asymmetric                                 151.3969
## 1924          asymmetric                                 151.3969
## 1925          asymmetric                                 151.3969
## 1926          asymmetric                                 151.3969
## 1927          asymmetric                                 151.3969
## 1928          asymmetric                                 151.3969
## 1929          asymmetric                                 151.3969
## 1930          asymmetric                                 151.3969
## 1931          asymmetric                                 151.3969
## 1932          asymmetric                                 151.3969
## 1933          asymmetric                                 151.3969
## 1934          asymmetric                                 151.3969
## 1935          asymmetric                                 151.3969
## 1936          asymmetric                                 151.3969
## 1937          asymmetric                                 151.3969
## 1938          asymmetric                                 151.3969
## 1939          asymmetric                                 151.3969
## 1940          asymmetric                                 151.3969
## 1941          asymmetric                                 151.3969
## 1942          asymmetric                                 151.3969
## 1943          asymmetric                                 151.3969
## 1944          asymmetric                                 151.3969
## 1945          asymmetric                                 151.3969
## 1946          asymmetric                                 151.3969
## 1947          asymmetric                                 151.3969
## 1948          asymmetric                                 151.3969
## 1949          asymmetric                                 151.3969
## 1950          asymmetric                                 151.3969
## 1951          asymmetric                                 151.3969
## 1952          asymmetric                                 151.3969
## 1953          asymmetric                                 151.3969
## 1954          asymmetric                                 151.3969
## 1955          asymmetric                                 151.3969
## 1956          asymmetric                                 151.3969
## 1957          asymmetric                                 151.3969
## 1958          asymmetric                                 151.3969
## 1959          asymmetric                                 151.3969
## 1960          asymmetric                                 151.3969
## 1961          asymmetric                                 151.3969
## 1962          asymmetric                                 151.3969
## 1963          asymmetric                                 151.3969
## 1964          asymmetric                                 151.3969
## 1965          asymmetric                                 151.3969
## 1966          asymmetric                                 151.3969
## 1967          asymmetric                                 151.3969
## 1968          asymmetric                                 151.3969
## 1969          asymmetric                                 151.3969
## 1970          asymmetric                                 151.3969
## 1971          asymmetric                                 151.3969
## 1972          asymmetric                                 151.3969
## 1973          asymmetric                                 151.3969
## 1974          asymmetric                                 151.3969
## 1975          asymmetric                                 151.3969
## 1976          asymmetric                                 151.3969
## 1977          asymmetric                                 151.3969
## 1978          asymmetric                                 151.3969
## 1979          asymmetric                                 151.3969
## 1980          asymmetric                                 151.3969
## 1981          asymmetric                                 151.3969
## 1982          asymmetric                                 151.3969
## 1983          asymmetric                                 151.3969
## 1984          asymmetric                                 151.3969
## 1985          asymmetric                                 151.3969
## 1986          asymmetric                                 151.3969
## 1987          asymmetric                                 151.3969
## 1988          asymmetric                                 151.3969
## 1989          asymmetric                                 151.3969
## 1990          asymmetric                                 151.3969
## 1991          asymmetric                                 151.3969
## 1992          asymmetric                                 151.3969
## 1993          asymmetric                                 151.3969
## 1994          asymmetric                                 151.3969
## 1995          asymmetric                                 151.3969
## 1996          asymmetric                                 151.3969
## 1997          asymmetric                                 151.3969
## 1998          asymmetric                                 151.3969
## 1999          asymmetric                                 151.3969
## 2000          asymmetric                                 151.3969
## 2001          asymmetric                                 151.3969
## 2002          asymmetric                                 151.3969
## 2003          asymmetric                                 151.3969
## 2004          asymmetric                                 151.3969
## 2005          asymmetric                                 151.3969
## 2006          asymmetric                                 151.3969
## 2007          asymmetric                                 151.3969
## 2008          asymmetric                                 151.3969
## 2009          asymmetric                                 151.3969
## 2010          asymmetric                                 151.3969
## 2011          asymmetric                                 151.3969
## 2012          asymmetric                                 151.3969
## 2013          asymmetric                                 151.3969
## 2014          asymmetric                                 151.3969
## 2015          asymmetric                                 151.3969
## 2016          asymmetric                                 151.3969
## 2017          asymmetric                                 151.3969
## 2018          asymmetric                                 151.3969
## 2019          asymmetric                                 151.3969
## 2020          asymmetric                                 151.3969
## 2021          asymmetric                                 151.3969
## 2022          asymmetric                                 151.3969
## 2023          asymmetric                                 151.3969
## 2024          asymmetric                                 151.3969
## 2025          asymmetric                                 151.3969
## 2026          asymmetric                                 151.3969
## 2027          asymmetric                                 151.3969
## 2028          asymmetric                                 151.3969
## 2029          asymmetric                                 151.3969
## 2030          asymmetric                                 151.3969
## 2031          asymmetric                                 151.3969
## 2032          asymmetric                                 151.3969
## 2033          asymmetric                                 151.3969
## 2034          asymmetric                                 151.3969
## 2035          asymmetric                                 151.3969
## 2036          asymmetric                                 151.3969
## 2037          asymmetric                                 151.3969
## 2038          asymmetric                                 151.3969
## 2039          asymmetric                                 151.3969
## 2040          asymmetric                                 151.3969
## 2041          asymmetric                                 151.3969
## 2042          asymmetric                                 151.3969
## 2043          asymmetric                                 151.3969
## 2044          asymmetric                                 151.3969
## 2045          asymmetric                                 151.3969
## 2046          asymmetric                                 151.3969
## 2047          asymmetric                                 151.3969
## 2048          asymmetric                                 151.3969
## 2049          asymmetric                                 151.3969
## 2050          asymmetric                                 151.3969
## 2051          asymmetric                                 151.3969
## 2052          asymmetric                                 151.3969
## 2053          asymmetric                                 151.3969
## 2054          asymmetric                                 151.3969
## 2055          asymmetric                                 151.3969
## 2056          asymmetric                                 151.3969
## 2057          asymmetric                                 151.3969
## 2058          asymmetric                                 151.3969
## 2059          asymmetric                                 151.3969
## 2060          asymmetric                                 151.3969
## 2061          asymmetric                                 151.3969
## 2062          asymmetric                                 151.3969
## 2063          asymmetric                                 151.3969
## 2064          asymmetric                                 151.3969
## 2065          asymmetric                                 151.3969
## 2066          asymmetric                                 151.3969
## 2067          asymmetric                                 151.3969
## 2068          asymmetric                                 151.3969
## 2069          asymmetric                                 151.3969
## 2070          asymmetric                                 151.3969
## 2071          asymmetric                                 151.3969
## 2072          asymmetric                                 151.3969
## 2073          asymmetric                                 151.3969
## 2074          asymmetric                                 151.3969
## 2075          asymmetric                                 151.3969
## 2076          asymmetric                                 151.3969
## 2077          asymmetric                                 151.3969
## 2078          asymmetric                                 151.3969
## 2079          asymmetric                                 151.3969
## 2080          asymmetric                                 151.3969
## 2081          asymmetric                                 151.3969
## 2082          asymmetric                                 151.3969
## 2083          asymmetric                                 151.3969
## 2084          asymmetric                                 151.3969
## 2085          asymmetric                                 151.3969
## 2086          asymmetric                                 151.3969
## 2087          asymmetric                                 151.3969
## 2088          asymmetric                                 151.3969
## 2089          asymmetric                                 151.3969
## 2090          asymmetric                                 151.3969
## 2091          asymmetric                                 151.3969
## 2092          asymmetric                                 151.3969
## 2093          asymmetric                                 151.3969
## 2094          asymmetric                                 151.3969
## 2095          asymmetric                                 151.3969
## 2096          asymmetric                                 151.3969
## 2097          asymmetric                                 151.3969
## 2098          asymmetric                                 151.3969
## 2099          asymmetric                                 151.3969
## 2100          asymmetric                                 151.3969
## 2101          asymmetric                                 151.3969
## 2102          asymmetric                                 151.3969
## 2103          asymmetric                                 151.3969
## 2104          asymmetric                                 151.3969
## 2105          asymmetric                                 151.3969
## 2106          asymmetric                                 151.3969
## 2107          asymmetric                                 151.3969
## 2108          asymmetric                                 151.3969
## 2109          asymmetric                                 151.3969
## 2110          asymmetric                                 151.3969
## 2111          asymmetric                                 151.3969
## 2112          asymmetric                                 151.3969
## 2113          asymmetric                                 228.2688
## 2114          asymmetric                                 228.2688
## 2115          asymmetric                                 228.2688
## 2116          asymmetric                                 228.2688
## 2117          asymmetric                                 228.2688
## 2118          asymmetric                                 228.2688
## 2119          asymmetric                                 228.2688
## 2120          asymmetric                                 228.2688
## 2121          asymmetric                                 228.2688
## 2122          asymmetric                                 228.2688
## 2123          asymmetric                                 228.2688
## 2124          asymmetric                                 228.2688
## 2125          asymmetric                                 228.2688
## 2126          asymmetric                                 228.2688
## 2127          asymmetric                                 228.2688
## 2128          asymmetric                                 228.2688
## 2129          asymmetric                                 228.2688
## 2130          asymmetric                                 228.2688
## 2131          asymmetric                                 228.2688
## 2132          asymmetric                                 228.2688
## 2133          asymmetric                                 228.2688
## 2134          asymmetric                                 228.2688
## 2135          asymmetric                                 228.2688
## 2136          asymmetric                                 228.2688
## 2137          asymmetric                                 228.2688
## 2138          asymmetric                                 228.2688
## 2139          asymmetric                                 228.2688
## 2140          asymmetric                                 228.2688
## 2141          asymmetric                                 228.2688
## 2142          asymmetric                                 228.2688
## 2143          asymmetric                                 228.2688
## 2144          asymmetric                                 228.2688
## 2145          asymmetric                                 228.2688
## 2146          asymmetric                                 228.2688
## 2147          asymmetric                                 228.2688
## 2148          asymmetric                                 228.2688
## 2149          asymmetric                                 228.2688
## 2150          asymmetric                                 228.2688
## 2151          asymmetric                                 228.2688
## 2152          asymmetric                                 228.2688
## 2153          asymmetric                                 228.2688
## 2154          asymmetric                                 228.2688
## 2155          asymmetric                                 228.2688
## 2156          asymmetric                                 228.2688
## 2157          asymmetric                                 228.2688
## 2158          asymmetric                                 228.2688
## 2159          asymmetric                                 228.2688
## 2160          asymmetric                                 228.2688
## 2161          asymmetric                                 228.2688
## 2162          asymmetric                                 228.2688
## 2163          asymmetric                                 228.2688
## 2164          asymmetric                                 228.2688
## 2165          asymmetric                                 228.2688
## 2166          asymmetric                                 228.2688
## 2167          asymmetric                                 228.2688
## 2168          asymmetric                                 228.2688
## 2169          asymmetric                                 228.2688
## 2170          asymmetric                                 228.2688
## 2171          asymmetric                                 228.2688
## 2172          asymmetric                                 228.2688
## 2173          asymmetric                                 228.2688
## 2174          asymmetric                                 228.2688
## 2175          asymmetric                                 228.2688
## 2176          asymmetric                                 228.2688
## 2177          asymmetric                                 228.2688
## 2178          asymmetric                                 228.2688
## 2179          asymmetric                                 228.2688
## 2180          asymmetric                                 228.2688
## 2181          asymmetric                                 228.2688
## 2182          asymmetric                                 228.2688
## 2183          asymmetric                                 228.2688
## 2184          asymmetric                                 228.2688
## 2185          asymmetric                                 228.2688
## 2186          asymmetric                                 228.2688
## 2187          asymmetric                                 228.2688
## 2188          asymmetric                                 228.2688
## 2189          asymmetric                                 228.2688
## 2190          asymmetric                                 228.2688
## 2191          asymmetric                                 228.2688
## 2192          asymmetric                                 228.2688
## 2193          asymmetric                                 228.2688
## 2194          asymmetric                                 228.2688
## 2195          asymmetric                                 228.2688
## 2196          asymmetric                                 228.2688
## 2197          asymmetric                                 228.2688
## 2198          asymmetric                                 228.2688
## 2199          asymmetric                                 228.2688
## 2200          asymmetric                                 228.2688
## 2201          asymmetric                                 228.2688
## 2202          asymmetric                                 228.2688
## 2203          asymmetric                                 228.2688
## 2204          asymmetric                                 228.2688
## 2205          asymmetric                                 228.2688
## 2206          asymmetric                                 228.2688
## 2207          asymmetric                                 228.2688
## 2208          asymmetric                                 228.2688
## 2209          asymmetric                                 228.2688
## 2210          asymmetric                                 228.2688
## 2211          asymmetric                                 228.2688
## 2212          asymmetric                                 228.2688
## 2213          asymmetric                                 228.2688
## 2214          asymmetric                                 228.2688
## 2215          asymmetric                                 228.2688
## 2216          asymmetric                                 228.2688
## 2217          asymmetric                                 228.2688
## 2218          asymmetric                                 228.2688
## 2219          asymmetric                                 228.2688
## 2220          asymmetric                                 228.2688
## 2221          asymmetric                                 228.2688
## 2222          asymmetric                                 228.2688
## 2223          asymmetric                                 228.2688
## 2224          asymmetric                                 228.2688
## 2225          asymmetric                                 228.2688
## 2226          asymmetric                                 228.2688
## 2227          asymmetric                                 228.2688
## 2228          asymmetric                                 228.2688
## 2229          asymmetric                                 228.2688
## 2230          asymmetric                                 228.2688
## 2231          asymmetric                                 228.2688
## 2232          asymmetric                                 228.2688
## 2233          asymmetric                                 228.2688
## 2234          asymmetric                                 228.2688
## 2235          asymmetric                                 228.2688
## 2236          asymmetric                                 228.2688
## 2237          asymmetric                                 228.2688
## 2238          asymmetric                                 228.2688
## 2239          asymmetric                                 228.2688
## 2240          asymmetric                                 228.2688
## 2241          asymmetric                                 228.2688
## 2242          asymmetric                                 228.2688
## 2243          asymmetric                                 228.2688
## 2244          asymmetric                                 228.2688
## 2245          asymmetric                                 228.2688
## 2246          asymmetric                                 228.2688
## 2247          asymmetric                                 228.2688
## 2248          asymmetric                                 228.2688
## 2249          asymmetric                                 228.2688
## 2250          asymmetric                                 228.2688
## 2251          asymmetric                                 228.2688
## 2252          asymmetric                                 228.2688
## 2253          asymmetric                                 228.2688
## 2254          asymmetric                                 228.2688
## 2255          asymmetric                                 228.2688
## 2256          asymmetric                                 228.2688
## 2257          asymmetric                                 228.2688
## 2258          asymmetric                                 228.2688
## 2259          asymmetric                                 228.2688
## 2260          asymmetric                                 228.2688
## 2261          asymmetric                                 228.2688
## 2262          asymmetric                                 228.2688
## 2263          asymmetric                                 228.2688
## 2264          asymmetric                                 228.2688
## 2265          asymmetric                                 228.2688
## 2266          asymmetric                                 228.2688
## 2267          asymmetric                                 228.2688
## 2268          asymmetric                                 228.2688
## 2269          asymmetric                                 228.2688
## 2270          asymmetric                                 228.2688
## 2271          asymmetric                                 228.2688
## 2272          asymmetric                                 228.2688
## 2273          asymmetric                                 228.2688
## 2274          asymmetric                                 228.2688
## 2275          asymmetric                                 228.2688
## 2276          asymmetric                                 228.2688
## 2277          asymmetric                                 228.2688
## 2278          asymmetric                                 228.2688
## 2279          asymmetric                                 228.2688
## 2280          asymmetric                                 228.2688
## 2281          asymmetric                                 228.2688
## 2282          asymmetric                                 228.2688
## 2283          asymmetric                                 228.2688
## 2284          asymmetric                                 228.2688
## 2285          asymmetric                                 228.2688
## 2286          asymmetric                                 228.2688
## 2287          asymmetric                                 228.2688
## 2288          asymmetric                                 228.2688
## 2289          asymmetric                                 228.2688
## 2290          asymmetric                                 228.2688
## 2291          asymmetric                                 228.2688
## 2292          asymmetric                                 228.2688
## 2293          asymmetric                                 228.2688
## 2294          asymmetric                                 228.2688
## 2295          asymmetric                                 228.2688
## 2296          asymmetric                                 228.2688
## 2297          asymmetric                                 228.2688
## 2298          asymmetric                                 228.2688
## 2299          asymmetric                                 228.2688
## 2300          asymmetric                                 228.2688
## 2301          asymmetric                                 228.2688
## 2302          asymmetric                                 228.2688
## 2303          asymmetric                                 228.2688
## 2304          asymmetric                                 228.2688
## 2305          asymmetric                                 182.9847
## 2306          asymmetric                                 182.9847
## 2307          asymmetric                                 182.9847
## 2308          asymmetric                                 182.9847
## 2309          asymmetric                                 182.9847
## 2310          asymmetric                                 182.9847
## 2311          asymmetric                                 182.9847
## 2312          asymmetric                                 182.9847
## 2313          asymmetric                                 182.9847
## 2314          asymmetric                                 182.9847
## 2315          asymmetric                                 182.9847
## 2316          asymmetric                                 182.9847
## 2317          asymmetric                                 182.9847
## 2318          asymmetric                                 182.9847
## 2319          asymmetric                                 182.9847
## 2320          asymmetric                                 182.9847
## 2321          asymmetric                                 182.9847
## 2322          asymmetric                                 182.9847
## 2323          asymmetric                                 182.9847
## 2324          asymmetric                                 182.9847
## 2325          asymmetric                                 182.9847
## 2326          asymmetric                                 182.9847
## 2327          asymmetric                                 182.9847
## 2328          asymmetric                                 182.9847
## 2329          asymmetric                                 182.9847
## 2330          asymmetric                                 182.9847
## 2331          asymmetric                                 182.9847
## 2332          asymmetric                                 182.9847
## 2333          asymmetric                                 182.9847
## 2334          asymmetric                                 182.9847
## 2335          asymmetric                                 182.9847
## 2336          asymmetric                                 182.9847
## 2337          asymmetric                                 182.9847
## 2338          asymmetric                                 182.9847
## 2339          asymmetric                                 182.9847
## 2340          asymmetric                                 182.9847
## 2341          asymmetric                                 182.9847
## 2342          asymmetric                                 182.9847
## 2343          asymmetric                                 182.9847
## 2344          asymmetric                                 182.9847
## 2345          asymmetric                                 182.9847
## 2346          asymmetric                                 182.9847
## 2347          asymmetric                                 182.9847
## 2348          asymmetric                                 182.9847
## 2349          asymmetric                                 182.9847
## 2350          asymmetric                                 182.9847
## 2351          asymmetric                                 182.9847
## 2352          asymmetric                                 182.9847
## 2353          asymmetric                                 182.9847
## 2354          asymmetric                                 182.9847
## 2355          asymmetric                                 182.9847
## 2356          asymmetric                                 182.9847
## 2357          asymmetric                                 182.9847
## 2358          asymmetric                                 182.9847
## 2359          asymmetric                                 182.9847
## 2360          asymmetric                                 182.9847
## 2361          asymmetric                                 182.9847
## 2362          asymmetric                                 182.9847
## 2363          asymmetric                                 182.9847
## 2364          asymmetric                                 182.9847
## 2365          asymmetric                                 182.9847
## 2366          asymmetric                                 182.9847
## 2367          asymmetric                                 182.9847
## 2368          asymmetric                                 182.9847
## 2369          asymmetric                                 182.9847
## 2370          asymmetric                                 182.9847
## 2371          asymmetric                                 182.9847
## 2372          asymmetric                                 182.9847
## 2373          asymmetric                                 182.9847
## 2374          asymmetric                                 182.9847
## 2375          asymmetric                                 182.9847
## 2376          asymmetric                                 182.9847
## 2377          asymmetric                                 182.9847
## 2378          asymmetric                                 182.9847
## 2379          asymmetric                                 182.9847
## 2380          asymmetric                                 182.9847
## 2381          asymmetric                                 182.9847
## 2382          asymmetric                                 182.9847
## 2383          asymmetric                                 182.9847
## 2384          asymmetric                                 182.9847
## 2385          asymmetric                                 182.9847
## 2386          asymmetric                                 182.9847
## 2387          asymmetric                                 182.9847
## 2388          asymmetric                                 182.9847
## 2389          asymmetric                                 182.9847
## 2390          asymmetric                                 182.9847
## 2391          asymmetric                                 182.9847
## 2392          asymmetric                                 182.9847
## 2393          asymmetric                                 182.9847
## 2394          asymmetric                                 182.9847
## 2395          asymmetric                                 182.9847
## 2396          asymmetric                                 182.9847
## 2397          asymmetric                                 182.9847
## 2398          asymmetric                                 182.9847
## 2399          asymmetric                                 182.9847
## 2400          asymmetric                                 182.9847
## 2401          asymmetric                                 182.9847
## 2402          asymmetric                                 182.9847
## 2403          asymmetric                                 182.9847
## 2404          asymmetric                                 182.9847
## 2405          asymmetric                                 182.9847
## 2406          asymmetric                                 182.9847
## 2407          asymmetric                                 182.9847
## 2408          asymmetric                                 182.9847
## 2409          asymmetric                                 182.9847
## 2410          asymmetric                                 182.9847
## 2411          asymmetric                                 182.9847
## 2412          asymmetric                                 182.9847
## 2413          asymmetric                                 182.9847
## 2414          asymmetric                                 182.9847
## 2415          asymmetric                                 182.9847
## 2416          asymmetric                                 182.9847
## 2417          asymmetric                                 182.9847
## 2418          asymmetric                                 182.9847
## 2419          asymmetric                                 182.9847
## 2420          asymmetric                                 182.9847
## 2421          asymmetric                                 182.9847
## 2422          asymmetric                                 182.9847
## 2423          asymmetric                                 182.9847
## 2424          asymmetric                                 182.9847
## 2425          asymmetric                                 182.9847
## 2426          asymmetric                                 182.9847
## 2427          asymmetric                                 182.9847
## 2428          asymmetric                                 182.9847
## 2429          asymmetric                                 182.9847
## 2430          asymmetric                                 182.9847
## 2431          asymmetric                                 182.9847
## 2432          asymmetric                                 182.9847
## 2433          asymmetric                                 182.9847
## 2434          asymmetric                                 182.9847
## 2435          asymmetric                                 182.9847
## 2436          asymmetric                                 182.9847
## 2437          asymmetric                                 182.9847
## 2438          asymmetric                                 182.9847
## 2439          asymmetric                                 182.9847
## 2440          asymmetric                                 182.9847
## 2441          asymmetric                                 182.9847
## 2442          asymmetric                                 182.9847
## 2443          asymmetric                                 182.9847
## 2444          asymmetric                                 182.9847
## 2445          asymmetric                                 182.9847
## 2446          asymmetric                                 182.9847
## 2447          asymmetric                                 182.9847
## 2448          asymmetric                                 182.9847
## 2449          asymmetric                                 182.9847
## 2450          asymmetric                                 182.9847
## 2451          asymmetric                                 182.9847
## 2452          asymmetric                                 182.9847
## 2453          asymmetric                                 182.9847
## 2454          asymmetric                                 182.9847
## 2455          asymmetric                                 182.9847
## 2456          asymmetric                                 182.9847
## 2457          asymmetric                                 182.9847
## 2458          asymmetric                                 182.9847
## 2459          asymmetric                                 182.9847
## 2460          asymmetric                                 182.9847
## 2461          asymmetric                                 182.9847
## 2462          asymmetric                                 182.9847
## 2463          asymmetric                                 182.9847
## 2464          asymmetric                                 182.9847
## 2465          asymmetric                                 182.9847
## 2466          asymmetric                                 182.9847
## 2467          asymmetric                                 182.9847
## 2468          asymmetric                                 182.9847
## 2469          asymmetric                                 182.9847
## 2470          asymmetric                                 182.9847
## 2471          asymmetric                                 182.9847
## 2472          asymmetric                                 182.9847
## 2473          asymmetric                                 182.9847
## 2474          asymmetric                                 182.9847
## 2475          asymmetric                                 182.9847
## 2476          asymmetric                                 182.9847
## 2477          asymmetric                                 182.9847
## 2478          asymmetric                                 182.9847
## 2479          asymmetric                                 182.9847
## 2480          asymmetric                                 182.9847
## 2481          asymmetric                                 182.9847
## 2482          asymmetric                                 182.9847
## 2483          asymmetric                                 182.9847
## 2484          asymmetric                                 182.9847
## 2485          asymmetric                                 182.9847
## 2486          asymmetric                                 182.9847
## 2487          asymmetric                                 182.9847
## 2488          asymmetric                                 182.9847
## 2489          asymmetric                                 182.9847
## 2490          asymmetric                                 182.9847
## 2491          asymmetric                                 182.9847
## 2492          asymmetric                                 182.9847
## 2493          asymmetric                                 182.9847
## 2494          asymmetric                                 182.9847
## 2495          asymmetric                                 182.9847
## 2496          asymmetric                                 182.9847
## 2497          asymmetric                                 114.4039
## 2498          asymmetric                                 114.4039
## 2499          asymmetric                                 114.4039
## 2500          asymmetric                                 114.4039
## 2501          asymmetric                                 114.4039
## 2502          asymmetric                                 114.4039
## 2503          asymmetric                                 114.4039
## 2504          asymmetric                                 114.4039
## 2505          asymmetric                                 114.4039
## 2506          asymmetric                                 114.4039
## 2507          asymmetric                                 114.4039
## 2508          asymmetric                                 114.4039
## 2509          asymmetric                                 114.4039
## 2510          asymmetric                                 114.4039
## 2511          asymmetric                                 114.4039
## 2512          asymmetric                                 114.4039
## 2513          asymmetric                                 114.4039
## 2514          asymmetric                                 114.4039
## 2515          asymmetric                                 114.4039
## 2516          asymmetric                                 114.4039
## 2517          asymmetric                                 114.4039
## 2518          asymmetric                                 114.4039
## 2519          asymmetric                                 114.4039
## 2520          asymmetric                                 114.4039
## 2521          asymmetric                                 114.4039
## 2522          asymmetric                                 114.4039
## 2523          asymmetric                                 114.4039
## 2524          asymmetric                                 114.4039
## 2525          asymmetric                                 114.4039
## 2526          asymmetric                                 114.4039
## 2527          asymmetric                                 114.4039
## 2528          asymmetric                                 114.4039
## 2529          asymmetric                                 114.4039
## 2530          asymmetric                                 114.4039
## 2531          asymmetric                                 114.4039
## 2532          asymmetric                                 114.4039
## 2533          asymmetric                                 114.4039
## 2534          asymmetric                                 114.4039
## 2535          asymmetric                                 114.4039
## 2536          asymmetric                                 114.4039
## 2537          asymmetric                                 114.4039
## 2538          asymmetric                                 114.4039
## 2539          asymmetric                                 114.4039
## 2540          asymmetric                                 114.4039
## 2541          asymmetric                                 114.4039
## 2542          asymmetric                                 114.4039
## 2543          asymmetric                                 114.4039
## 2544          asymmetric                                 114.4039
## 2545          asymmetric                                 114.4039
## 2546          asymmetric                                 114.4039
## 2547          asymmetric                                 114.4039
## 2548          asymmetric                                 114.4039
## 2549          asymmetric                                 114.4039
## 2550          asymmetric                                 114.4039
## 2551          asymmetric                                 114.4039
## 2552          asymmetric                                 114.4039
## 2553          asymmetric                                 114.4039
## 2554          asymmetric                                 114.4039
## 2555          asymmetric                                 114.4039
## 2556          asymmetric                                 114.4039
## 2557          asymmetric                                 114.4039
## 2558          asymmetric                                 114.4039
## 2559          asymmetric                                 114.4039
## 2560          asymmetric                                 114.4039
## 2561          asymmetric                                 114.4039
## 2562          asymmetric                                 114.4039
## 2563          asymmetric                                 114.4039
## 2564          asymmetric                                 114.4039
## 2565          asymmetric                                 114.4039
## 2566          asymmetric                                 114.4039
## 2567          asymmetric                                 114.4039
## 2568          asymmetric                                 114.4039
## 2569          asymmetric                                 114.4039
## 2570          asymmetric                                 114.4039
## 2571          asymmetric                                 114.4039
## 2572          asymmetric                                 114.4039
## 2573          asymmetric                                 114.4039
## 2574          asymmetric                                 114.4039
## 2575          asymmetric                                 114.4039
## 2576          asymmetric                                 114.4039
## 2577          asymmetric                                 114.4039
## 2578          asymmetric                                 114.4039
## 2579          asymmetric                                 114.4039
## 2580          asymmetric                                 114.4039
## 2581          asymmetric                                 114.4039
## 2582          asymmetric                                 114.4039
## 2583          asymmetric                                 114.4039
## 2584          asymmetric                                 114.4039
## 2585          asymmetric                                 114.4039
## 2586          asymmetric                                 114.4039
## 2587          asymmetric                                 114.4039
## 2588          asymmetric                                 114.4039
## 2589          asymmetric                                 114.4039
## 2590          asymmetric                                 114.4039
## 2591          asymmetric                                 114.4039
## 2592          asymmetric                                 114.4039
## 2593          asymmetric                                 114.4039
## 2594          asymmetric                                 114.4039
## 2595          asymmetric                                 114.4039
## 2596          asymmetric                                 114.4039
## 2597          asymmetric                                 114.4039
## 2598          asymmetric                                 114.4039
## 2599          asymmetric                                 114.4039
## 2600          asymmetric                                 114.4039
## 2601          asymmetric                                 114.4039
## 2602          asymmetric                                 114.4039
## 2603          asymmetric                                 114.4039
## 2604          asymmetric                                 114.4039
## 2605          asymmetric                                 114.4039
## 2606          asymmetric                                 114.4039
## 2607          asymmetric                                 114.4039
## 2608          asymmetric                                 114.4039
## 2609          asymmetric                                 114.4039
## 2610          asymmetric                                 114.4039
## 2611          asymmetric                                 114.4039
## 2612          asymmetric                                 114.4039
## 2613          asymmetric                                 114.4039
## 2614          asymmetric                                 114.4039
## 2615          asymmetric                                 114.4039
## 2616          asymmetric                                 114.4039
## 2617          asymmetric                                 114.4039
## 2618          asymmetric                                 114.4039
## 2619          asymmetric                                 114.4039
## 2620          asymmetric                                 114.4039
## 2621          asymmetric                                 114.4039
## 2622          asymmetric                                 114.4039
## 2623          asymmetric                                 114.4039
## 2624          asymmetric                                 114.4039
## 2625          asymmetric                                 114.4039
## 2626          asymmetric                                 114.4039
## 2627          asymmetric                                 114.4039
## 2628          asymmetric                                 114.4039
## 2629          asymmetric                                 114.4039
## 2630          asymmetric                                 114.4039
## 2631          asymmetric                                 114.4039
##      baseline_jaccard_index baseline_bray_curtis baseline_beta_spatial_turnover
## 1                 0.3797327            0.2343643                      0.1428571
## 2                 0.3797327            0.2343643                      0.1428571
## 3                 0.3797327            0.2343643                      0.1428571
## 4                 0.3797327            0.2343643                      0.1428571
## 5                 0.3797327            0.2343643                      0.1428571
## 6                 0.3797327            0.2343643                      0.1428571
## 7                 0.3797327            0.2343643                      0.1428571
## 8                 0.3797327            0.2343643                      0.1428571
## 9                 0.3797327            0.2343643                      0.1428571
## 10                0.3797327            0.2343643                      0.1428571
## 11                0.3797327            0.2343643                      0.1428571
## 12                0.3797327            0.2343643                      0.1428571
## 13                0.3797327            0.2343643                      0.1428571
## 14                0.3797327            0.2343643                      0.1428571
## 15                0.3797327            0.2343643                      0.1428571
## 16                0.3797327            0.2343643                      0.1428571
## 17                0.3797327            0.2343643                      0.1428571
## 18                0.3797327            0.2343643                      0.1428571
## 19                0.3797327            0.2343643                      0.1428571
## 20                0.3797327            0.2343643                      0.1428571
## 21                0.3797327            0.2343643                      0.1428571
## 22                0.3797327            0.2343643                      0.1428571
## 23                0.3797327            0.2343643                      0.1428571
## 24                0.3797327            0.2343643                      0.1428571
## 25                0.3797327            0.2343643                      0.1428571
## 26                0.3797327            0.2343643                      0.1428571
## 27                0.3797327            0.2343643                      0.1428571
## 28                0.3797327            0.2343643                      0.1428571
## 29                0.3797327            0.2343643                      0.1428571
## 30                0.3797327            0.2343643                      0.1428571
## 31                0.3797327            0.2343643                      0.1428571
## 32                0.3797327            0.2343643                      0.1428571
## 33                0.3797327            0.2343643                      0.1428571
## 34                0.3797327            0.2343643                      0.1428571
## 35                0.3797327            0.2343643                      0.1428571
## 36                0.3797327            0.2343643                      0.1428571
## 37                0.3797327            0.2343643                      0.1428571
## 38                0.3797327            0.2343643                      0.1428571
## 39                0.3797327            0.2343643                      0.1428571
## 40                0.3797327            0.2343643                      0.1428571
## 41                0.3797327            0.2343643                      0.1428571
## 42                0.3797327            0.2343643                      0.1428571
## 43                0.3797327            0.2343643                      0.1428571
## 44                0.3797327            0.2343643                      0.1428571
## 45                0.3797327            0.2343643                      0.1428571
## 46                0.3797327            0.2343643                      0.1428571
## 47                0.3797327            0.2343643                      0.1428571
## 48                0.3797327            0.2343643                      0.1428571
## 49                0.3797327            0.2343643                      0.1428571
## 50                0.3797327            0.2343643                      0.1428571
## 51                0.3797327            0.2343643                      0.1428571
## 52                0.3797327            0.2343643                      0.1428571
## 53                0.3797327            0.2343643                      0.1428571
## 54                0.3797327            0.2343643                      0.1428571
## 55                0.3797327            0.2343643                      0.1428571
## 56                0.3797327            0.2343643                      0.1428571
## 57                0.3797327            0.2343643                      0.1428571
## 58                0.3797327            0.2343643                      0.1428571
## 59                0.3797327            0.2343643                      0.1428571
## 60                0.3797327            0.2343643                      0.1428571
## 61                0.3797327            0.2343643                      0.1428571
## 62                0.3797327            0.2343643                      0.1428571
## 63                0.3797327            0.2343643                      0.1428571
## 64                0.3797327            0.2343643                      0.1428571
## 65                0.3797327            0.2343643                      0.1428571
## 66                0.3797327            0.2343643                      0.1428571
## 67                0.3797327            0.2343643                      0.1428571
## 68                0.3797327            0.2343643                      0.1428571
## 69                0.3797327            0.2343643                      0.1428571
## 70                0.3797327            0.2343643                      0.1428571
## 71                0.3797327            0.2343643                      0.1428571
## 72                0.3797327            0.2343643                      0.1428571
## 73                0.3797327            0.2343643                      0.1428571
## 74                0.3797327            0.2343643                      0.1428571
## 75                0.3797327            0.2343643                      0.1428571
## 76                0.3797327            0.2343643                      0.1428571
## 77                0.3797327            0.2343643                      0.1428571
## 78                0.3797327            0.2343643                      0.1428571
## 79                0.3797327            0.2343643                      0.1428571
## 80                0.3797327            0.2343643                      0.1428571
## 81                0.3797327            0.2343643                      0.1428571
## 82                0.3797327            0.2343643                      0.1428571
## 83                0.3797327            0.2343643                      0.1428571
## 84                0.3797327            0.2343643                      0.1428571
## 85                0.3797327            0.2343643                      0.1428571
## 86                0.3797327            0.2343643                      0.1428571
## 87                0.3797327            0.2343643                      0.1428571
## 88                0.3797327            0.2343643                      0.1428571
## 89                0.3797327            0.2343643                      0.1428571
## 90                0.3797327            0.2343643                      0.1428571
## 91                0.3797327            0.2343643                      0.1428571
## 92                0.3797327            0.2343643                      0.1428571
## 93                0.3797327            0.2343643                      0.1428571
## 94                0.3797327            0.2343643                      0.1428571
## 95                0.3797327            0.2343643                      0.1428571
## 96                0.3797327            0.2343643                      0.1428571
## 97                0.3797327            0.2343643                      0.1428571
## 98                0.3797327            0.2343643                      0.1428571
## 99                0.3797327            0.2343643                      0.1428571
## 100               0.3797327            0.2343643                      0.1428571
## 101               0.3797327            0.2343643                      0.1428571
## 102               0.3797327            0.2343643                      0.1428571
## 103               0.3797327            0.2343643                      0.1428571
## 104               0.3797327            0.2343643                      0.1428571
## 105               0.3797327            0.2343643                      0.1428571
## 106               0.3797327            0.2343643                      0.1428571
## 107               0.3797327            0.2343643                      0.1428571
## 108               0.3797327            0.2343643                      0.1428571
## 109               0.3797327            0.2343643                      0.1428571
## 110               0.3797327            0.2343643                      0.1428571
## 111               0.3797327            0.2343643                      0.1428571
## 112               0.3797327            0.2343643                      0.1428571
## 113               0.3797327            0.2343643                      0.1428571
## 114               0.3797327            0.2343643                      0.1428571
## 115               0.3797327            0.2343643                      0.1428571
## 116               0.3797327            0.2343643                      0.1428571
## 117               0.3797327            0.2343643                      0.1428571
## 118               0.3797327            0.2343643                      0.1428571
## 119               0.3797327            0.2343643                      0.1428571
## 120               0.3797327            0.2343643                      0.1428571
## 121               0.3797327            0.2343643                      0.1428571
## 122               0.3797327            0.2343643                      0.1428571
## 123               0.3797327            0.2343643                      0.1428571
## 124               0.3797327            0.2343643                      0.1428571
## 125               0.3797327            0.2343643                      0.1428571
## 126               0.3797327            0.2343643                      0.1428571
## 127               0.3797327            0.2343643                      0.1428571
## 128               0.3797327            0.2343643                      0.1428571
## 129               0.3797327            0.2343643                      0.1428571
## 130               0.3797327            0.2343643                      0.1428571
## 131               0.3797327            0.2343643                      0.1428571
## 132               0.3797327            0.2343643                      0.1428571
## 133               0.3797327            0.2343643                      0.1428571
## 134               0.3797327            0.2343643                      0.1428571
## 135               0.3797327            0.2343643                      0.1428571
## 136               0.3797327            0.2343643                      0.1428571
## 137               0.3797327            0.2343643                      0.1428571
## 138               0.3797327            0.2343643                      0.1428571
## 139               0.3797327            0.2343643                      0.1428571
## 140               0.3797327            0.2343643                      0.1428571
## 141               0.3797327            0.2343643                      0.1428571
## 142               0.3797327            0.2343643                      0.1428571
## 143               0.3797327            0.2343643                      0.1428571
## 144               0.3797327            0.2343643                      0.1428571
## 145               0.3797327            0.2343643                      0.1428571
## 146               0.3797327            0.2343643                      0.1428571
## 147               0.3797327            0.2343643                      0.1428571
## 148               0.3797327            0.2343643                      0.1428571
## 149               0.3797327            0.2343643                      0.1428571
## 150               0.3797327            0.2343643                      0.1428571
## 151               0.3797327            0.2343643                      0.1428571
## 152               0.3797327            0.2343643                      0.1428571
## 153               0.3797327            0.2343643                      0.1428571
## 154               0.3797327            0.2343643                      0.1428571
## 155               0.3797327            0.2343643                      0.1428571
## 156               0.3797327            0.2343643                      0.1428571
## 157               0.3797327            0.2343643                      0.1428571
## 158               0.3797327            0.2343643                      0.1428571
## 159               0.3797327            0.2343643                      0.1428571
## 160               0.3797327            0.2343643                      0.1428571
## 161               0.3797327            0.2343643                      0.1428571
## 162               0.3797327            0.2343643                      0.1428571
## 163               0.3797327            0.2343643                      0.1428571
## 164               0.3797327            0.2343643                      0.1428571
## 165               0.3797327            0.2343643                      0.1428571
## 166               0.3797327            0.2343643                      0.1428571
## 167               0.3797327            0.2343643                      0.1428571
## 168               0.3797327            0.2343643                      0.1428571
## 169               0.3797327            0.2343643                      0.1428571
## 170               0.3797327            0.2343643                      0.1428571
## 171               0.3797327            0.2343643                      0.1428571
## 172               0.3797327            0.2343643                      0.1428571
## 173               0.3797327            0.2343643                      0.1428571
## 174               0.3797327            0.2343643                      0.1428571
## 175               0.3797327            0.2343643                      0.1428571
## 176               0.3797327            0.2343643                      0.1428571
## 177               0.3797327            0.2343643                      0.1428571
## 178               0.3797327            0.2343643                      0.1428571
## 179               0.3797327            0.2343643                      0.1428571
## 180               0.3797327            0.2343643                      0.1428571
## 181               0.3797327            0.2343643                      0.1428571
## 182               0.3797327            0.2343643                      0.1428571
## 183               0.3797327            0.2343643                      0.1428571
## 184               0.3797327            0.2343643                      0.1428571
## 185               0.3797327            0.2343643                      0.1428571
## 186               0.3797327            0.2343643                      0.1428571
## 187               0.3797327            0.2343643                      0.1428571
## 188               0.3797327            0.2343643                      0.1428571
## 189               0.3797327            0.2343643                      0.1428571
## 190               0.3797327            0.2343643                      0.1428571
## 191               0.3797327            0.2343643                      0.1428571
## 192               0.3797327            0.2343643                      0.1428571
## 193               0.5863882            0.4148156                      0.0000000
## 194               0.5863882            0.4148156                      0.0000000
## 195               0.5863882            0.4148156                      0.0000000
## 196               0.5863882            0.4148156                      0.0000000
## 197               0.5863882            0.4148156                      0.0000000
## 198               0.5863882            0.4148156                      0.0000000
## 199               0.5863882            0.4148156                      0.0000000
## 200               0.5863882            0.4148156                      0.0000000
## 201               0.5863882            0.4148156                      0.0000000
## 202               0.5863882            0.4148156                      0.0000000
## 203               0.5863882            0.4148156                      0.0000000
## 204               0.5863882            0.4148156                      0.0000000
## 205               0.5863882            0.4148156                      0.0000000
## 206               0.5863882            0.4148156                      0.0000000
## 207               0.5863882            0.4148156                      0.0000000
## 208               0.5863882            0.4148156                      0.0000000
## 209               0.5863882            0.4148156                      0.0000000
## 210               0.5863882            0.4148156                      0.0000000
## 211               0.5863882            0.4148156                      0.0000000
## 212               0.5863882            0.4148156                      0.0000000
## 213               0.5863882            0.4148156                      0.0000000
## 214               0.5863882            0.4148156                      0.0000000
## 215               0.5863882            0.4148156                      0.0000000
## 216               0.5863882            0.4148156                      0.0000000
## 217               0.5863882            0.4148156                      0.0000000
## 218               0.5863882            0.4148156                      0.0000000
## 219               0.5863882            0.4148156                      0.0000000
## 220               0.5863882            0.4148156                      0.0000000
## 221               0.5863882            0.4148156                      0.0000000
## 222               0.5863882            0.4148156                      0.0000000
## 223               0.5863882            0.4148156                      0.0000000
## 224               0.5863882            0.4148156                      0.0000000
## 225               0.5863882            0.4148156                      0.0000000
## 226               0.5863882            0.4148156                      0.0000000
## 227               0.5863882            0.4148156                      0.0000000
## 228               0.5863882            0.4148156                      0.0000000
## 229               0.5863882            0.4148156                      0.0000000
## 230               0.5863882            0.4148156                      0.0000000
## 231               0.5863882            0.4148156                      0.0000000
## 232               0.5863882            0.4148156                      0.0000000
## 233               0.5863882            0.4148156                      0.0000000
## 234               0.5863882            0.4148156                      0.0000000
## 235               0.5863882            0.4148156                      0.0000000
## 236               0.5863882            0.4148156                      0.0000000
## 237               0.5863882            0.4148156                      0.0000000
## 238               0.5863882            0.4148156                      0.0000000
## 239               0.5863882            0.4148156                      0.0000000
## 240               0.5863882            0.4148156                      0.0000000
## 241               0.5863882            0.4148156                      0.0000000
## 242               0.5863882            0.4148156                      0.0000000
## 243               0.5863882            0.4148156                      0.0000000
## 244               0.5863882            0.4148156                      0.0000000
## 245               0.5863882            0.4148156                      0.0000000
## 246               0.5863882            0.4148156                      0.0000000
## 247               0.5863882            0.4148156                      0.0000000
## 248               0.5863882            0.4148156                      0.0000000
## 249               0.5863882            0.4148156                      0.0000000
## 250               0.5863882            0.4148156                      0.0000000
## 251               0.5863882            0.4148156                      0.0000000
## 252               0.5863882            0.4148156                      0.0000000
## 253               0.5863882            0.4148156                      0.0000000
## 254               0.5863882            0.4148156                      0.0000000
## 255               0.5863882            0.4148156                      0.0000000
## 256               0.5863882            0.4148156                      0.0000000
## 257               0.5863882            0.4148156                      0.0000000
## 258               0.5863882            0.4148156                      0.0000000
## 259               0.5863882            0.4148156                      0.0000000
## 260               0.5863882            0.4148156                      0.0000000
## 261               0.5863882            0.4148156                      0.0000000
## 262               0.5863882            0.4148156                      0.0000000
## 263               0.5863882            0.4148156                      0.0000000
## 264               0.5863882            0.4148156                      0.0000000
## 265               0.5863882            0.4148156                      0.0000000
## 266               0.5863882            0.4148156                      0.0000000
## 267               0.5863882            0.4148156                      0.0000000
## 268               0.5863882            0.4148156                      0.0000000
## 269               0.5863882            0.4148156                      0.0000000
## 270               0.5863882            0.4148156                      0.0000000
## 271               0.5863882            0.4148156                      0.0000000
## 272               0.5863882            0.4148156                      0.0000000
## 273               0.5863882            0.4148156                      0.0000000
## 274               0.5863882            0.4148156                      0.0000000
## 275               0.5863882            0.4148156                      0.0000000
## 276               0.5863882            0.4148156                      0.0000000
## 277               0.5863882            0.4148156                      0.0000000
## 278               0.5863882            0.4148156                      0.0000000
## 279               0.5863882            0.4148156                      0.0000000
## 280               0.5863882            0.4148156                      0.0000000
## 281               0.5863882            0.4148156                      0.0000000
## 282               0.5863882            0.4148156                      0.0000000
## 283               0.5863882            0.4148156                      0.0000000
## 284               0.5863882            0.4148156                      0.0000000
## 285               0.5863882            0.4148156                      0.0000000
## 286               0.5863882            0.4148156                      0.0000000
## 287               0.5863882            0.4148156                      0.0000000
## 288               0.5863882            0.4148156                      0.0000000
## 289               0.5863882            0.4148156                      0.0000000
## 290               0.5863882            0.4148156                      0.0000000
## 291               0.5863882            0.4148156                      0.0000000
## 292               0.5863882            0.4148156                      0.0000000
## 293               0.5863882            0.4148156                      0.0000000
## 294               0.5863882            0.4148156                      0.0000000
## 295               0.5863882            0.4148156                      0.0000000
## 296               0.5863882            0.4148156                      0.0000000
## 297               0.5863882            0.4148156                      0.0000000
## 298               0.5863882            0.4148156                      0.0000000
## 299               0.5863882            0.4148156                      0.0000000
## 300               0.5863882            0.4148156                      0.0000000
## 301               0.5863882            0.4148156                      0.0000000
## 302               0.5863882            0.4148156                      0.0000000
## 303               0.5863882            0.4148156                      0.0000000
## 304               0.5863882            0.4148156                      0.0000000
## 305               0.5863882            0.4148156                      0.0000000
## 306               0.5863882            0.4148156                      0.0000000
## 307               0.5863882            0.4148156                      0.0000000
## 308               0.5863882            0.4148156                      0.0000000
## 309               0.5863882            0.4148156                      0.0000000
## 310               0.5863882            0.4148156                      0.0000000
## 311               0.5863882            0.4148156                      0.0000000
## 312               0.5863882            0.4148156                      0.0000000
## 313               0.5863882            0.4148156                      0.0000000
## 314               0.5863882            0.4148156                      0.0000000
## 315               0.5863882            0.4148156                      0.0000000
## 316               0.5863882            0.4148156                      0.0000000
## 317               0.5863882            0.4148156                      0.0000000
## 318               0.5863882            0.4148156                      0.0000000
## 319               0.5863882            0.4148156                      0.0000000
## 320               0.5863882            0.4148156                      0.0000000
## 321               0.5863882            0.4148156                      0.0000000
## 322               0.5863882            0.4148156                      0.0000000
## 323               0.5863882            0.4148156                      0.0000000
## 324               0.5863882            0.4148156                      0.0000000
## 325               0.5863882            0.4148156                      0.0000000
## 326               0.5863882            0.4148156                      0.0000000
## 327               0.5863882            0.4148156                      0.0000000
## 328               0.5863882            0.4148156                      0.0000000
## 329               0.5863882            0.4148156                      0.0000000
## 330               0.5863882            0.4148156                      0.0000000
## 331               0.5863882            0.4148156                      0.0000000
## 332               0.5863882            0.4148156                      0.0000000
## 333               0.5863882            0.4148156                      0.0000000
## 334               0.5863882            0.4148156                      0.0000000
## 335               0.5863882            0.4148156                      0.0000000
## 336               0.5863882            0.4148156                      0.0000000
## 337               0.5863882            0.4148156                      0.0000000
## 338               0.5863882            0.4148156                      0.0000000
## 339               0.5863882            0.4148156                      0.0000000
## 340               0.5863882            0.4148156                      0.0000000
## 341               0.5863882            0.4148156                      0.0000000
## 342               0.5863882            0.4148156                      0.0000000
## 343               0.5863882            0.4148156                      0.0000000
## 344               0.5863882            0.4148156                      0.0000000
## 345               0.5863882            0.4148156                      0.0000000
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## 1125              0.4775502            0.3136722                      0.2500000
## 1126              0.4775502            0.3136722                      0.2500000
## 1127              0.4775502            0.3136722                      0.2500000
## 1128              0.4775502            0.3136722                      0.2500000
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## 1130              0.4775502            0.3136722                      0.2500000
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## 1137              0.4775502            0.3136722                      0.2500000
## 1138              0.4775502            0.3136722                      0.2500000
## 1139              0.4775502            0.3136722                      0.2500000
## 1140              0.4775502            0.3136722                      0.2500000
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## 1145              0.4775502            0.3136722                      0.2500000
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## 1147              0.4775502            0.3136722                      0.2500000
## 1148              0.4775502            0.3136722                      0.2500000
## 1149              0.4775502            0.3136722                      0.2500000
## 1150              0.4775502            0.3136722                      0.2500000
## 1151              0.4775502            0.3136722                      0.2500000
## 1152              0.4775502            0.3136722                      0.2500000
## 1153              0.4851643            0.3202752                      0.1250000
## 1154              0.4851643            0.3202752                      0.1250000
## 1155              0.4851643            0.3202752                      0.1250000
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## 1157              0.4851643            0.3202752                      0.1250000
## 1158              0.4851643            0.3202752                      0.1250000
## 1159              0.4851643            0.3202752                      0.1250000
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## 1164              0.4851643            0.3202752                      0.1250000
## 1165              0.4851643            0.3202752                      0.1250000
## 1166              0.4851643            0.3202752                      0.1250000
## 1167              0.4851643            0.3202752                      0.1250000
## 1168              0.4851643            0.3202752                      0.1250000
## 1169              0.4851643            0.3202752                      0.1250000
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## 1171              0.4851643            0.3202752                      0.1250000
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## 1173              0.4851643            0.3202752                      0.1250000
## 1174              0.4851643            0.3202752                      0.1250000
## 1175              0.4851643            0.3202752                      0.1250000
## 1176              0.4851643            0.3202752                      0.1250000
## 1177              0.4851643            0.3202752                      0.1250000
## 1178              0.4851643            0.3202752                      0.1250000
## 1179              0.4851643            0.3202752                      0.1250000
## 1180              0.4851643            0.3202752                      0.1250000
## 1181              0.4851643            0.3202752                      0.1250000
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## 1183              0.4851643            0.3202752                      0.1250000
## 1184              0.4851643            0.3202752                      0.1250000
## 1185              0.4851643            0.3202752                      0.1250000
## 1186              0.4851643            0.3202752                      0.1250000
## 1187              0.4851643            0.3202752                      0.1250000
## 1188              0.4851643            0.3202752                      0.1250000
## 1189              0.4851643            0.3202752                      0.1250000
## 1190              0.4851643            0.3202752                      0.1250000
## 1191              0.4851643            0.3202752                      0.1250000
## 1192              0.4851643            0.3202752                      0.1250000
## 1193              0.4851643            0.3202752                      0.1250000
## 1194              0.4851643            0.3202752                      0.1250000
## 1195              0.4851643            0.3202752                      0.1250000
## 1196              0.4851643            0.3202752                      0.1250000
## 1197              0.4851643            0.3202752                      0.1250000
## 1198              0.4851643            0.3202752                      0.1250000
## 1199              0.4851643            0.3202752                      0.1250000
## 1200              0.4851643            0.3202752                      0.1250000
## 1201              0.4851643            0.3202752                      0.1250000
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## 1204              0.4851643            0.3202752                      0.1250000
## 1205              0.4851643            0.3202752                      0.1250000
## 1206              0.4851643            0.3202752                      0.1250000
## 1207              0.4851643            0.3202752                      0.1250000
## 1208              0.4851643            0.3202752                      0.1250000
## 1209              0.4851643            0.3202752                      0.1250000
## 1210              0.4851643            0.3202752                      0.1250000
## 1211              0.4851643            0.3202752                      0.1250000
## 1212              0.4851643            0.3202752                      0.1250000
## 1213              0.4851643            0.3202752                      0.1250000
## 1214              0.4851643            0.3202752                      0.1250000
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## 1216              0.4851643            0.3202752                      0.1250000
## 1217              0.4851643            0.3202752                      0.1250000
## 1218              0.4851643            0.3202752                      0.1250000
## 1219              0.4851643            0.3202752                      0.1250000
## 1220              0.4851643            0.3202752                      0.1250000
## 1221              0.4851643            0.3202752                      0.1250000
## 1222              0.4851643            0.3202752                      0.1250000
## 1223              0.4851643            0.3202752                      0.1250000
## 1224              0.4851643            0.3202752                      0.1250000
## 1225              0.4851643            0.3202752                      0.1250000
## 1226              0.4851643            0.3202752                      0.1250000
## 1227              0.4851643            0.3202752                      0.1250000
## 1228              0.4851643            0.3202752                      0.1250000
## 1229              0.4851643            0.3202752                      0.1250000
## 1230              0.4851643            0.3202752                      0.1250000
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## 1248              0.4851643            0.3202752                      0.1250000
## 1249              0.4851643            0.3202752                      0.1250000
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## 1261              0.4851643            0.3202752                      0.1250000
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## 1265              0.4851643            0.3202752                      0.1250000
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## 1271              0.4851643            0.3202752                      0.1250000
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## 1279              0.4851643            0.3202752                      0.1250000
## 1280              0.4851643            0.3202752                      0.1250000
## 1281              0.4851643            0.3202752                      0.1250000
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## 1284              0.4851643            0.3202752                      0.1250000
## 1285              0.4851643            0.3202752                      0.1250000
## 1286              0.4851643            0.3202752                      0.1250000
## 1287              0.4851643            0.3202752                      0.1250000
## 1288              0.4851643            0.3202752                      0.1250000
## 1289              0.4851643            0.3202752                      0.1250000
## 1290              0.4851643            0.3202752                      0.1250000
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## 1397              0.5151939            0.3469772                      0.1250000
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## 1399              0.5151939            0.3469772                      0.1250000
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## 1451              0.5151939            0.3469772                      0.1250000
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## 1460              0.5151939            0.3469772                      0.1250000
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## 1464              0.5151939            0.3469772                      0.1250000
## 1465              0.5151939            0.3469772                      0.1250000
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## 1467              0.5151939            0.3469772                      0.1250000
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## 1476              0.5151939            0.3469772                      0.1250000
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## 1943              0.4647482            0.3027179                      0.0000000
## 1944              0.4647482            0.3027179                      0.0000000
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## 1948              0.4647482            0.3027179                      0.0000000
## 1949              0.4647482            0.3027179                      0.0000000
## 1950              0.4647482            0.3027179                      0.0000000
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## 1960              0.4647482            0.3027179                      0.0000000
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## 1964              0.4647482            0.3027179                      0.0000000
## 1965              0.4647482            0.3027179                      0.0000000
## 1966              0.4647482            0.3027179                      0.0000000
## 1967              0.4647482            0.3027179                      0.0000000
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## 1969              0.4647482            0.3027179                      0.0000000
## 1970              0.4647482            0.3027179                      0.0000000
## 1971              0.4647482            0.3027179                      0.0000000
## 1972              0.4647482            0.3027179                      0.0000000
## 1973              0.4647482            0.3027179                      0.0000000
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## 1975              0.4647482            0.3027179                      0.0000000
## 1976              0.4647482            0.3027179                      0.0000000
## 1977              0.4647482            0.3027179                      0.0000000
## 1978              0.4647482            0.3027179                      0.0000000
## 1979              0.4647482            0.3027179                      0.0000000
## 1980              0.4647482            0.3027179                      0.0000000
## 1981              0.4647482            0.3027179                      0.0000000
## 1982              0.4647482            0.3027179                      0.0000000
## 1983              0.4647482            0.3027179                      0.0000000
## 1984              0.4647482            0.3027179                      0.0000000
## 1985              0.4647482            0.3027179                      0.0000000
## 1986              0.4647482            0.3027179                      0.0000000
## 1987              0.4647482            0.3027179                      0.0000000
## 1988              0.4647482            0.3027179                      0.0000000
## 1989              0.4647482            0.3027179                      0.0000000
## 1990              0.4647482            0.3027179                      0.0000000
## 1991              0.4647482            0.3027179                      0.0000000
## 1992              0.4647482            0.3027179                      0.0000000
## 1993              0.4647482            0.3027179                      0.0000000
## 1994              0.4647482            0.3027179                      0.0000000
## 1995              0.4647482            0.3027179                      0.0000000
## 1996              0.4647482            0.3027179                      0.0000000
## 1997              0.4647482            0.3027179                      0.0000000
## 1998              0.4647482            0.3027179                      0.0000000
## 1999              0.4647482            0.3027179                      0.0000000
## 2000              0.4647482            0.3027179                      0.0000000
## 2001              0.4647482            0.3027179                      0.0000000
## 2002              0.4647482            0.3027179                      0.0000000
## 2003              0.4647482            0.3027179                      0.0000000
## 2004              0.4647482            0.3027179                      0.0000000
## 2005              0.4647482            0.3027179                      0.0000000
## 2006              0.4647482            0.3027179                      0.0000000
## 2007              0.4647482            0.3027179                      0.0000000
## 2008              0.4647482            0.3027179                      0.0000000
## 2009              0.4647482            0.3027179                      0.0000000
## 2010              0.4647482            0.3027179                      0.0000000
## 2011              0.4647482            0.3027179                      0.0000000
## 2012              0.4647482            0.3027179                      0.0000000
## 2013              0.4647482            0.3027179                      0.0000000
## 2014              0.4647482            0.3027179                      0.0000000
## 2015              0.4647482            0.3027179                      0.0000000
## 2016              0.4647482            0.3027179                      0.0000000
## 2017              0.4647482            0.3027179                      0.0000000
## 2018              0.4647482            0.3027179                      0.0000000
## 2019              0.4647482            0.3027179                      0.0000000
## 2020              0.4647482            0.3027179                      0.0000000
## 2021              0.4647482            0.3027179                      0.0000000
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## 2114              0.5989357            0.4274862                      0.1666667
## 2115              0.5989357            0.4274862                      0.1666667
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## 2117              0.5989357            0.4274862                      0.1666667
## 2118              0.5989357            0.4274862                      0.1666667
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## 2121              0.5989357            0.4274862                      0.1666667
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## 2125              0.5989357            0.4274862                      0.1666667
## 2126              0.5989357            0.4274862                      0.1666667
## 2127              0.5989357            0.4274862                      0.1666667
## 2128              0.5989357            0.4274862                      0.1666667
## 2129              0.5989357            0.4274862                      0.1666667
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## 2133              0.5989357            0.4274862                      0.1666667
## 2134              0.5989357            0.4274862                      0.1666667
## 2135              0.5989357            0.4274862                      0.1666667
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## 2138              0.5989357            0.4274862                      0.1666667
## 2139              0.5989357            0.4274862                      0.1666667
## 2140              0.5989357            0.4274862                      0.1666667
## 2141              0.5989357            0.4274862                      0.1666667
## 2142              0.5989357            0.4274862                      0.1666667
## 2143              0.5989357            0.4274862                      0.1666667
## 2144              0.5989357            0.4274862                      0.1666667
## 2145              0.5989357            0.4274862                      0.1666667
## 2146              0.5989357            0.4274862                      0.1666667
## 2147              0.5989357            0.4274862                      0.1666667
## 2148              0.5989357            0.4274862                      0.1666667
## 2149              0.5989357            0.4274862                      0.1666667
## 2150              0.5989357            0.4274862                      0.1666667
## 2151              0.5989357            0.4274862                      0.1666667
## 2152              0.5989357            0.4274862                      0.1666667
## 2153              0.5989357            0.4274862                      0.1666667
## 2154              0.5989357            0.4274862                      0.1666667
## 2155              0.5989357            0.4274862                      0.1666667
## 2156              0.5989357            0.4274862                      0.1666667
## 2157              0.5989357            0.4274862                      0.1666667
## 2158              0.5989357            0.4274862                      0.1666667
## 2159              0.5989357            0.4274862                      0.1666667
## 2160              0.5989357            0.4274862                      0.1666667
## 2161              0.5989357            0.4274862                      0.1666667
## 2162              0.5989357            0.4274862                      0.1666667
## 2163              0.5989357            0.4274862                      0.1666667
## 2164              0.5989357            0.4274862                      0.1666667
## 2165              0.5989357            0.4274862                      0.1666667
## 2166              0.5989357            0.4274862                      0.1666667
## 2167              0.5989357            0.4274862                      0.1666667
## 2168              0.5989357            0.4274862                      0.1666667
## 2169              0.5989357            0.4274862                      0.1666667
## 2170              0.5989357            0.4274862                      0.1666667
## 2171              0.5989357            0.4274862                      0.1666667
## 2172              0.5989357            0.4274862                      0.1666667
## 2173              0.5989357            0.4274862                      0.1666667
## 2174              0.5989357            0.4274862                      0.1666667
## 2175              0.5989357            0.4274862                      0.1666667
## 2176              0.5989357            0.4274862                      0.1666667
## 2177              0.5989357            0.4274862                      0.1666667
## 2178              0.5989357            0.4274862                      0.1666667
## 2179              0.5989357            0.4274862                      0.1666667
## 2180              0.5989357            0.4274862                      0.1666667
## 2181              0.5989357            0.4274862                      0.1666667
## 2182              0.5989357            0.4274862                      0.1666667
## 2183              0.5989357            0.4274862                      0.1666667
## 2184              0.5989357            0.4274862                      0.1666667
## 2185              0.5989357            0.4274862                      0.1666667
## 2186              0.5989357            0.4274862                      0.1666667
## 2187              0.5989357            0.4274862                      0.1666667
## 2188              0.5989357            0.4274862                      0.1666667
## 2189              0.5989357            0.4274862                      0.1666667
## 2190              0.5989357            0.4274862                      0.1666667
## 2191              0.5989357            0.4274862                      0.1666667
## 2192              0.5989357            0.4274862                      0.1666667
## 2193              0.5989357            0.4274862                      0.1666667
## 2194              0.5989357            0.4274862                      0.1666667
## 2195              0.5989357            0.4274862                      0.1666667
## 2196              0.5989357            0.4274862                      0.1666667
## 2197              0.5989357            0.4274862                      0.1666667
## 2198              0.5989357            0.4274862                      0.1666667
## 2199              0.5989357            0.4274862                      0.1666667
## 2200              0.5989357            0.4274862                      0.1666667
## 2201              0.5989357            0.4274862                      0.1666667
## 2202              0.5989357            0.4274862                      0.1666667
## 2203              0.5989357            0.4274862                      0.1666667
## 2204              0.5989357            0.4274862                      0.1666667
## 2205              0.5989357            0.4274862                      0.1666667
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## 2212              0.5989357            0.4274862                      0.1666667
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## 2217              0.5989357            0.4274862                      0.1666667
## 2218              0.5989357            0.4274862                      0.1666667
## 2219              0.5989357            0.4274862                      0.1666667
## 2220              0.5989357            0.4274862                      0.1666667
## 2221              0.5989357            0.4274862                      0.1666667
## 2222              0.5989357            0.4274862                      0.1666667
## 2223              0.5989357            0.4274862                      0.1666667
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## 2227              0.5989357            0.4274862                      0.1666667
## 2228              0.5989357            0.4274862                      0.1666667
## 2229              0.5989357            0.4274862                      0.1666667
## 2230              0.5989357            0.4274862                      0.1666667
## 2231              0.5989357            0.4274862                      0.1666667
## 2232              0.5989357            0.4274862                      0.1666667
## 2233              0.5989357            0.4274862                      0.1666667
## 2234              0.5989357            0.4274862                      0.1666667
## 2235              0.5989357            0.4274862                      0.1666667
## 2236              0.5989357            0.4274862                      0.1666667
## 2237              0.5989357            0.4274862                      0.1666667
## 2238              0.5989357            0.4274862                      0.1666667
## 2239              0.5989357            0.4274862                      0.1666667
## 2240              0.5989357            0.4274862                      0.1666667
## 2241              0.5989357            0.4274862                      0.1666667
## 2242              0.5989357            0.4274862                      0.1666667
## 2243              0.5989357            0.4274862                      0.1666667
## 2244              0.5989357            0.4274862                      0.1666667
## 2245              0.5989357            0.4274862                      0.1666667
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## 2247              0.5989357            0.4274862                      0.1666667
## 2248              0.5989357            0.4274862                      0.1666667
## 2249              0.5989357            0.4274862                      0.1666667
## 2250              0.5989357            0.4274862                      0.1666667
## 2251              0.5989357            0.4274862                      0.1666667
## 2252              0.5989357            0.4274862                      0.1666667
## 2253              0.5989357            0.4274862                      0.1666667
## 2254              0.5989357            0.4274862                      0.1666667
## 2255              0.5989357            0.4274862                      0.1666667
## 2256              0.5989357            0.4274862                      0.1666667
## 2257              0.5989357            0.4274862                      0.1666667
## 2258              0.5989357            0.4274862                      0.1666667
## 2259              0.5989357            0.4274862                      0.1666667
## 2260              0.5989357            0.4274862                      0.1666667
## 2261              0.5989357            0.4274862                      0.1666667
## 2262              0.5989357            0.4274862                      0.1666667
## 2263              0.5989357            0.4274862                      0.1666667
## 2264              0.5989357            0.4274862                      0.1666667
## 2265              0.5989357            0.4274862                      0.1666667
## 2266              0.5989357            0.4274862                      0.1666667
## 2267              0.5989357            0.4274862                      0.1666667
## 2268              0.5989357            0.4274862                      0.1666667
## 2269              0.5989357            0.4274862                      0.1666667
## 2270              0.5989357            0.4274862                      0.1666667
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## 2272              0.5989357            0.4274862                      0.1666667
## 2273              0.5989357            0.4274862                      0.1666667
## 2274              0.5989357            0.4274862                      0.1666667
## 2275              0.5989357            0.4274862                      0.1666667
## 2276              0.5989357            0.4274862                      0.1666667
## 2277              0.5989357            0.4274862                      0.1666667
## 2278              0.5989357            0.4274862                      0.1666667
## 2279              0.5989357            0.4274862                      0.1666667
## 2280              0.5989357            0.4274862                      0.1666667
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## 2282              0.5989357            0.4274862                      0.1666667
## 2283              0.5989357            0.4274862                      0.1666667
## 2284              0.5989357            0.4274862                      0.1666667
## 2285              0.5989357            0.4274862                      0.1666667
## 2286              0.5989357            0.4274862                      0.1666667
## 2287              0.5989357            0.4274862                      0.1666667
## 2288              0.5989357            0.4274862                      0.1666667
## 2289              0.5989357            0.4274862                      0.1666667
## 2290              0.5989357            0.4274862                      0.1666667
## 2291              0.5989357            0.4274862                      0.1666667
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## 2293              0.5989357            0.4274862                      0.1666667
## 2294              0.5989357            0.4274862                      0.1666667
## 2295              0.5989357            0.4274862                      0.1666667
## 2296              0.5989357            0.4274862                      0.1666667
## 2297              0.5989357            0.4274862                      0.1666667
## 2298              0.5989357            0.4274862                      0.1666667
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## 2300              0.5989357            0.4274862                      0.1666667
## 2301              0.5989357            0.4274862                      0.1666667
## 2302              0.5989357            0.4274862                      0.1666667
## 2303              0.5989357            0.4274862                      0.1666667
## 2304              0.5989357            0.4274862                      0.1666667
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## 2345              0.3858672            0.2390555                      0.1666667
## 2346              0.3858672            0.2390555                      0.1666667
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## 2348              0.3858672            0.2390555                      0.1666667
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## 2488              0.3858672            0.2390555                      0.1666667
## 2489              0.3858672            0.2390555                      0.1666667
## 2490              0.3858672            0.2390555                      0.1666667
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## 2492              0.3858672            0.2390555                      0.1666667
## 2493              0.3858672            0.2390555                      0.1666667
## 2494              0.3858672            0.2390555                      0.1666667
## 2495              0.3858672            0.2390555                      0.1666667
## 2496              0.3858672            0.2390555                      0.1666667
## 2497              0.4258033            0.2704892                      0.0000000
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## 2499              0.4258033            0.2704892                      0.0000000
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## 2509              0.4258033            0.2704892                      0.0000000
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## 2592              0.4258033            0.2704892                      0.0000000
## 2593              0.4258033            0.2704892                      0.0000000
## 2594              0.4258033            0.2704892                      0.0000000
## 2595              0.4258033            0.2704892                      0.0000000
## 2596              0.4258033            0.2704892                      0.0000000
## 2597              0.4258033            0.2704892                      0.0000000
## 2598              0.4258033            0.2704892                      0.0000000
## 2599              0.4258033            0.2704892                      0.0000000
## 2600              0.4258033            0.2704892                      0.0000000
## 2601              0.4258033            0.2704892                      0.0000000
## 2602              0.4258033            0.2704892                      0.0000000
## 2603              0.4258033            0.2704892                      0.0000000
## 2604              0.4258033            0.2704892                      0.0000000
## 2605              0.4258033            0.2704892                      0.0000000
## 2606              0.4258033            0.2704892                      0.0000000
## 2607              0.4258033            0.2704892                      0.0000000
## 2608              0.4258033            0.2704892                      0.0000000
## 2609              0.4258033            0.2704892                      0.0000000
## 2610              0.4258033            0.2704892                      0.0000000
## 2611              0.4258033            0.2704892                      0.0000000
## 2612              0.4258033            0.2704892                      0.0000000
## 2613              0.4258033            0.2704892                      0.0000000
## 2614              0.4258033            0.2704892                      0.0000000
## 2615              0.4258033            0.2704892                      0.0000000
## 2616              0.4258033            0.2704892                      0.0000000
## 2617              0.4258033            0.2704892                      0.0000000
## 2618              0.4258033            0.2704892                      0.0000000
## 2619              0.4258033            0.2704892                      0.0000000
## 2620              0.4258033            0.2704892                      0.0000000
## 2621              0.4258033            0.2704892                      0.0000000
## 2622              0.4258033            0.2704892                      0.0000000
## 2623              0.4258033            0.2704892                      0.0000000
## 2624              0.4258033            0.2704892                      0.0000000
## 2625              0.4258033            0.2704892                      0.0000000
## 2626              0.4258033            0.2704892                      0.0000000
## 2627              0.4258033            0.2704892                      0.0000000
## 2628              0.4258033            0.2704892                      0.0000000
## 2629              0.4258033            0.2704892                      0.0000000
## 2630              0.4258033            0.2704892                      0.0000000
## 2631              0.4258033            0.2704892                      0.0000000
##      baseline_beta_nestedness baseline_beta_total
## 1                  0.05714286          0.20000000
## 2                  0.05714286          0.20000000
## 3                  0.05714286          0.20000000
## 4                  0.05714286          0.20000000
## 5                  0.05714286          0.20000000
## 6                  0.05714286          0.20000000
## 7                  0.05714286          0.20000000
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## 9                  0.05714286          0.20000000
## 10                 0.05714286          0.20000000
## 11                 0.05714286          0.20000000
## 12                 0.05714286          0.20000000
## 13                 0.05714286          0.20000000
## 14                 0.05714286          0.20000000
## 15                 0.05714286          0.20000000
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## 20                 0.05714286          0.20000000
## 21                 0.05714286          0.20000000
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## 29                 0.05714286          0.20000000
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## 90                 0.05714286          0.20000000
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## 92                 0.05714286          0.20000000
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## 100                0.05714286          0.20000000
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## 190                0.05714286          0.20000000
## 191                0.05714286          0.20000000
## 192                0.05714286          0.20000000
## 193                0.12500000          0.12500000
## 194                0.12500000          0.12500000
## 195                0.12500000          0.12500000
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## 1964               0.14285714          0.14285714
## 1965               0.14285714          0.14285714
## 1966               0.14285714          0.14285714
## 1967               0.14285714          0.14285714
## 1968               0.14285714          0.14285714
## 1969               0.14285714          0.14285714
## 1970               0.14285714          0.14285714
## 1971               0.14285714          0.14285714
## 1972               0.14285714          0.14285714
## 1973               0.14285714          0.14285714
## 1974               0.14285714          0.14285714
## 1975               0.14285714          0.14285714
## 1976               0.14285714          0.14285714
## 1977               0.14285714          0.14285714
## 1978               0.14285714          0.14285714
## 1979               0.14285714          0.14285714
## 1980               0.14285714          0.14285714
## 1981               0.14285714          0.14285714
## 1982               0.14285714          0.14285714
## 1983               0.14285714          0.14285714
## 1984               0.14285714          0.14285714
## 1985               0.14285714          0.14285714
## 1986               0.14285714          0.14285714
## 1987               0.14285714          0.14285714
## 1988               0.14285714          0.14285714
## 1989               0.14285714          0.14285714
## 1990               0.14285714          0.14285714
## 1991               0.14285714          0.14285714
## 1992               0.14285714          0.14285714
## 1993               0.14285714          0.14285714
## 1994               0.14285714          0.14285714
## 1995               0.14285714          0.14285714
## 1996               0.14285714          0.14285714
## 1997               0.14285714          0.14285714
## 1998               0.14285714          0.14285714
## 1999               0.14285714          0.14285714
## 2000               0.14285714          0.14285714
## 2001               0.14285714          0.14285714
## 2002               0.14285714          0.14285714
## 2003               0.14285714          0.14285714
## 2004               0.14285714          0.14285714
## 2005               0.14285714          0.14285714
## 2006               0.14285714          0.14285714
## 2007               0.14285714          0.14285714
## 2008               0.14285714          0.14285714
## 2009               0.14285714          0.14285714
## 2010               0.14285714          0.14285714
## 2011               0.14285714          0.14285714
## 2012               0.14285714          0.14285714
## 2013               0.14285714          0.14285714
## 2014               0.14285714          0.14285714
## 2015               0.14285714          0.14285714
## 2016               0.14285714          0.14285714
## 2017               0.14285714          0.14285714
## 2018               0.14285714          0.14285714
## 2019               0.14285714          0.14285714
## 2020               0.14285714          0.14285714
## 2021               0.14285714          0.14285714
## 2022               0.14285714          0.14285714
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## 2029               0.14285714          0.14285714
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## 2449               0.16666667          0.33333333
## 2450               0.16666667          0.33333333
## 2451               0.16666667          0.33333333
## 2452               0.16666667          0.33333333
## 2453               0.16666667          0.33333333
## 2454               0.16666667          0.33333333
## 2455               0.16666667          0.33333333
## 2456               0.16666667          0.33333333
## 2457               0.16666667          0.33333333
## 2458               0.16666667          0.33333333
## 2459               0.16666667          0.33333333
## 2460               0.16666667          0.33333333
## 2461               0.16666667          0.33333333
## 2462               0.16666667          0.33333333
## 2463               0.16666667          0.33333333
## 2464               0.16666667          0.33333333
## 2465               0.16666667          0.33333333
## 2466               0.16666667          0.33333333
## 2467               0.16666667          0.33333333
## 2468               0.16666667          0.33333333
## 2469               0.16666667          0.33333333
## 2470               0.16666667          0.33333333
## 2471               0.16666667          0.33333333
## 2472               0.16666667          0.33333333
## 2473               0.16666667          0.33333333
## 2474               0.16666667          0.33333333
## 2475               0.16666667          0.33333333
## 2476               0.16666667          0.33333333
## 2477               0.16666667          0.33333333
## 2478               0.16666667          0.33333333
## 2479               0.16666667          0.33333333
## 2480               0.16666667          0.33333333
## 2481               0.16666667          0.33333333
## 2482               0.16666667          0.33333333
## 2483               0.16666667          0.33333333
## 2484               0.16666667          0.33333333
## 2485               0.16666667          0.33333333
## 2486               0.16666667          0.33333333
## 2487               0.16666667          0.33333333
## 2488               0.16666667          0.33333333
## 2489               0.16666667          0.33333333
## 2490               0.16666667          0.33333333
## 2491               0.16666667          0.33333333
## 2492               0.16666667          0.33333333
## 2493               0.16666667          0.33333333
## 2494               0.16666667          0.33333333
## 2495               0.16666667          0.33333333
## 2496               0.16666667          0.33333333
## 2497               0.07692308          0.07692308
## 2498               0.07692308          0.07692308
## 2499               0.07692308          0.07692308
## 2500               0.07692308          0.07692308
## 2501               0.07692308          0.07692308
## 2502               0.07692308          0.07692308
## 2503               0.07692308          0.07692308
## 2504               0.07692308          0.07692308
## 2505               0.07692308          0.07692308
## 2506               0.07692308          0.07692308
## 2507               0.07692308          0.07692308
## 2508               0.07692308          0.07692308
## 2509               0.07692308          0.07692308
## 2510               0.07692308          0.07692308
## 2511               0.07692308          0.07692308
## 2512               0.07692308          0.07692308
## 2513               0.07692308          0.07692308
## 2514               0.07692308          0.07692308
## 2515               0.07692308          0.07692308
## 2516               0.07692308          0.07692308
## 2517               0.07692308          0.07692308
## 2518               0.07692308          0.07692308
## 2519               0.07692308          0.07692308
## 2520               0.07692308          0.07692308
## 2521               0.07692308          0.07692308
## 2522               0.07692308          0.07692308
## 2523               0.07692308          0.07692308
## 2524               0.07692308          0.07692308
## 2525               0.07692308          0.07692308
## 2526               0.07692308          0.07692308
## 2527               0.07692308          0.07692308
## 2528               0.07692308          0.07692308
## 2529               0.07692308          0.07692308
## 2530               0.07692308          0.07692308
## 2531               0.07692308          0.07692308
## 2532               0.07692308          0.07692308
## 2533               0.07692308          0.07692308
## 2534               0.07692308          0.07692308
## 2535               0.07692308          0.07692308
## 2536               0.07692308          0.07692308
## 2537               0.07692308          0.07692308
## 2538               0.07692308          0.07692308
## 2539               0.07692308          0.07692308
## 2540               0.07692308          0.07692308
## 2541               0.07692308          0.07692308
## 2542               0.07692308          0.07692308
## 2543               0.07692308          0.07692308
## 2544               0.07692308          0.07692308
## 2545               0.07692308          0.07692308
## 2546               0.07692308          0.07692308
## 2547               0.07692308          0.07692308
## 2548               0.07692308          0.07692308
## 2549               0.07692308          0.07692308
## 2550               0.07692308          0.07692308
## 2551               0.07692308          0.07692308
## 2552               0.07692308          0.07692308
## 2553               0.07692308          0.07692308
## 2554               0.07692308          0.07692308
## 2555               0.07692308          0.07692308
## 2556               0.07692308          0.07692308
## 2557               0.07692308          0.07692308
## 2558               0.07692308          0.07692308
## 2559               0.07692308          0.07692308
## 2560               0.07692308          0.07692308
## 2561               0.07692308          0.07692308
## 2562               0.07692308          0.07692308
## 2563               0.07692308          0.07692308
## 2564               0.07692308          0.07692308
## 2565               0.07692308          0.07692308
## 2566               0.07692308          0.07692308
## 2567               0.07692308          0.07692308
## 2568               0.07692308          0.07692308
## 2569               0.07692308          0.07692308
## 2570               0.07692308          0.07692308
## 2571               0.07692308          0.07692308
## 2572               0.07692308          0.07692308
## 2573               0.07692308          0.07692308
## 2574               0.07692308          0.07692308
## 2575               0.07692308          0.07692308
## 2576               0.07692308          0.07692308
## 2577               0.07692308          0.07692308
## 2578               0.07692308          0.07692308
## 2579               0.07692308          0.07692308
## 2580               0.07692308          0.07692308
## 2581               0.07692308          0.07692308
## 2582               0.07692308          0.07692308
## 2583               0.07692308          0.07692308
## 2584               0.07692308          0.07692308
## 2585               0.07692308          0.07692308
## 2586               0.07692308          0.07692308
## 2587               0.07692308          0.07692308
## 2588               0.07692308          0.07692308
## 2589               0.07692308          0.07692308
## 2590               0.07692308          0.07692308
## 2591               0.07692308          0.07692308
## 2592               0.07692308          0.07692308
## 2593               0.07692308          0.07692308
## 2594               0.07692308          0.07692308
## 2595               0.07692308          0.07692308
## 2596               0.07692308          0.07692308
## 2597               0.07692308          0.07692308
## 2598               0.07692308          0.07692308
## 2599               0.07692308          0.07692308
## 2600               0.07692308          0.07692308
## 2601               0.07692308          0.07692308
## 2602               0.07692308          0.07692308
## 2603               0.07692308          0.07692308
## 2604               0.07692308          0.07692308
## 2605               0.07692308          0.07692308
## 2606               0.07692308          0.07692308
## 2607               0.07692308          0.07692308
## 2608               0.07692308          0.07692308
## 2609               0.07692308          0.07692308
## 2610               0.07692308          0.07692308
## 2611               0.07692308          0.07692308
## 2612               0.07692308          0.07692308
## 2613               0.07692308          0.07692308
## 2614               0.07692308          0.07692308
## 2615               0.07692308          0.07692308
## 2616               0.07692308          0.07692308
## 2617               0.07692308          0.07692308
## 2618               0.07692308          0.07692308
## 2619               0.07692308          0.07692308
## 2620               0.07692308          0.07692308
## 2621               0.07692308          0.07692308
## 2622               0.07692308          0.07692308
## 2623               0.07692308          0.07692308
## 2624               0.07692308          0.07692308
## 2625               0.07692308          0.07692308
## 2626               0.07692308          0.07692308
## 2627               0.07692308          0.07692308
## 2628               0.07692308          0.07692308
## 2629               0.07692308          0.07692308
## 2630               0.07692308          0.07692308
## 2631               0.07692308          0.07692308
##      baseline_metaecosystem_richness set ID_first_patch ID_second_patch
## 1                                  9   1              1              11
## 2                                  9   2              1              11
## 3                                  9   3              1              11
## 4                                  9   4              1              11
## 5                                  9   7              1              11
## 6                                  9   8              1              11
## 7                                  9   9              1              11
## 8                                  9  10              1              11
## 9                                  9  11              1              11
## 10                                 9  12              1              11
## 11                                 9  13              1              11
## 12                                 9  14              1              11
## 13                                 9  27              1              11
## 14                                 9  28              1              11
## 15                                 9  29              1              11
## 16                                 9  30              1              11
## 17                                 9  31              1              11
## 18                                 9  32              1              11
## 19                                 9  33              1              11
## 20                                 9  34              1              11
## 21                                 9  37              1              11
## 22                                 9  38              1              11
## 23                                 9  39              1              11
## 24                                 9  40              1              11
## 25                                 9   1              1              11
## 26                                 9   2              1              11
## 27                                 9   3              1              11
## 28                                 9   4              1              11
## 29                                 9   7              1              11
## 30                                 9   8              1              11
## 31                                 9   9              1              11
## 32                                 9  10              1              11
## 33                                 9  11              1              11
## 34                                 9  12              1              11
## 35                                 9  13              1              11
## 36                                 9  14              1              11
## 37                                 9  27              1              11
## 38                                 9  28              1              11
## 39                                 9  29              1              11
## 40                                 9  30              1              11
## 41                                 9  31              1              11
## 42                                 9  32              1              11
## 43                                 9  33              1              11
## 44                                 9  34              1              11
## 45                                 9  37              1              11
## 46                                 9  38              1              11
## 47                                 9  39              1              11
## 48                                 9  40              1              11
## 49                                 9   1              1              11
## 50                                 9   2              1              11
## 51                                 9   3              1              11
## 52                                 9   4              1              11
## 53                                 9   7              1              11
## 54                                 9   8              1              11
## 55                                 9   9              1              11
## 56                                 9  10              1              11
## 57                                 9  11              1              11
## 58                                 9  12              1              11
## 59                                 9  13              1              11
## 60                                 9  14              1              11
## 61                                 9  27              1              11
## 62                                 9  28              1              11
## 63                                 9  29              1              11
## 64                                 9  30              1              11
## 65                                 9  31              1              11
## 66                                 9  32              1              11
## 67                                 9  33              1              11
## 68                                 9  34              1              11
## 69                                 9  37              1              11
## 70                                 9  38              1              11
## 71                                 9  39              1              11
## 72                                 9  40              1              11
## 73                                 9   1              1              11
## 74                                 9   2              1              11
## 75                                 9   3              1              11
## 76                                 9   4              1              11
## 77                                 9   7              1              11
## 78                                 9   8              1              11
## 79                                 9   9              1              11
## 80                                 9  10              1              11
## 81                                 9  11              1              11
## 82                                 9  12              1              11
## 83                                 9  13              1              11
## 84                                 9  14              1              11
## 85                                 9  27              1              11
## 86                                 9  28              1              11
## 87                                 9  29              1              11
## 88                                 9  30              1              11
## 89                                 9  31              1              11
## 90                                 9  32              1              11
## 91                                 9  33              1              11
## 92                                 9  34              1              11
## 93                                 9  37              1              11
## 94                                 9  38              1              11
## 95                                 9  39              1              11
## 96                                 9  40              1              11
## 97                                 9   1              1              11
## 98                                 9   2              1              11
## 99                                 9   3              1              11
## 100                                9   4              1              11
## 101                                9   7              1              11
## 102                                9   8              1              11
## 103                                9   9              1              11
## 104                                9  10              1              11
## 105                                9  11              1              11
## 106                                9  12              1              11
## 107                                9  13              1              11
## 108                                9  14              1              11
## 109                                9  27              1              11
## 110                                9  28              1              11
## 111                                9  29              1              11
## 112                                9  30              1              11
## 113                                9  31              1              11
## 114                                9  32              1              11
## 115                                9  33              1              11
## 116                                9  34              1              11
## 117                                9  37              1              11
## 118                                9  38              1              11
## 119                                9  39              1              11
## 120                                9  40              1              11
## 121                                9   1              1              11
## 122                                9   2              1              11
## 123                                9   3              1              11
## 124                                9   4              1              11
## 125                                9   7              1              11
## 126                                9   8              1              11
## 127                                9   9              1              11
## 128                                9  10              1              11
## 129                                9  11              1              11
## 130                                9  12              1              11
## 131                                9  13              1              11
## 132                                9  14              1              11
## 133                                9  27              1              11
## 134                                9  28              1              11
## 135                                9  29              1              11
## 136                                9  30              1              11
## 137                                9  31              1              11
## 138                                9  32              1              11
## 139                                9  33              1              11
## 140                                9  34              1              11
## 141                                9  37              1              11
## 142                                9  38              1              11
## 143                                9  39              1              11
## 144                                9  40              1              11
## 145                                9   1              1              11
## 146                                9   2              1              11
## 147                                9   3              1              11
## 148                                9   4              1              11
## 149                                9   7              1              11
## 150                                9   8              1              11
## 151                                9   9              1              11
## 152                                9  10              1              11
## 153                                9  11              1              11
## 154                                9  12              1              11
## 155                                9  13              1              11
## 156                                9  14              1              11
## 157                                9  27              1              11
## 158                                9  28              1              11
## 159                                9  29              1              11
## 160                                9  30              1              11
## 161                                9  31              1              11
## 162                                9  32              1              11
## 163                                9  33              1              11
## 164                                9  34              1              11
## 165                                9  37              1              11
## 166                                9  38              1              11
## 167                                9  39              1              11
## 168                                9  40              1              11
## 169                                9   1              1              11
## 170                                9   2              1              11
## 171                                9   3              1              11
## 172                                9   4              1              11
## 173                                9   7              1              11
## 174                                9   8              1              11
## 175                                9   9              1              11
## 176                                9  10              1              11
## 177                                9  11              1              11
## 178                                9  12              1              11
## 179                                9  13              1              11
## 180                                9  14              1              11
## 181                                9  27              1              11
## 182                                9  28              1              11
## 183                                9  29              1              11
## 184                                9  30              1              11
## 185                                9  31              1              11
## 186                                9  32              1              11
## 187                                9  33              1              11
## 188                                9  34              1              11
## 189                                9  37              1              11
## 190                                9  38              1              11
## 191                                9  39              1              11
## 192                                9  40              1              11
## 193                                9  81              1              12
## 194                                9  82              1              12
## 195                                9  83              1              12
## 196                                9  84              1              12
## 197                                9  87              1              12
## 198                                9  88              1              12
## 199                                9  89              1              12
## 200                                9  90              1              12
## 201                                9  91              1              12
## 202                                9  92              1              12
## 203                                9  93              1              12
## 204                                9  94              1              12
## 205                                9 107              1              12
## 206                                9 108              1              12
## 207                                9 109              1              12
## 208                                9 110              1              12
## 209                                9 111              1              12
## 210                                9 112              1              12
## 211                                9 113              1              12
## 212                                9 114              1              12
## 213                                9 117              1              12
## 214                                9 118              1              12
## 215                                9 119              1              12
## 216                                9 120              1              12
## 217                                9  81              1              12
## 218                                9  82              1              12
## 219                                9  83              1              12
## 220                                9  84              1              12
## 221                                9  87              1              12
## 222                                9  88              1              12
## 223                                9  89              1              12
## 224                                9  90              1              12
## 225                                9  91              1              12
## 226                                9  92              1              12
## 227                                9  93              1              12
## 228                                9  94              1              12
## 229                                9 107              1              12
## 230                                9 108              1              12
## 231                                9 109              1              12
## 232                                9 110              1              12
## 233                                9 111              1              12
## 234                                9 112              1              12
## 235                                9 113              1              12
## 236                                9 114              1              12
## 237                                9 117              1              12
## 238                                9 118              1              12
## 239                                9 119              1              12
## 240                                9 120              1              12
## 241                                9  81              1              12
## 242                                9  82              1              12
## 243                                9  83              1              12
## 244                                9  84              1              12
## 245                                9  87              1              12
## 246                                9  88              1              12
## 247                                9  89              1              12
## 248                                9  90              1              12
## 249                                9  91              1              12
## 250                                9  92              1              12
## 251                                9  93              1              12
## 252                                9  94              1              12
## 253                                9 107              1              12
## 254                                9 108              1              12
## 255                                9 109              1              12
## 256                                9 110              1              12
## 257                                9 111              1              12
## 258                                9 112              1              12
## 259                                9 113              1              12
## 260                                9 114              1              12
## 261                                9 117              1              12
## 262                                9 118              1              12
## 263                                9 119              1              12
## 264                                9 120              1              12
## 265                                9  81              1              12
## 266                                9  82              1              12
## 267                                9  83              1              12
## 268                                9  84              1              12
## 269                                9  87              1              12
## 270                                9  88              1              12
## 271                                9  89              1              12
## 272                                9  90              1              12
## 273                                9  91              1              12
## 274                                9  92              1              12
## 275                                9  93              1              12
## 276                                9  94              1              12
## 277                                9 107              1              12
## 278                                9 108              1              12
## 279                                9 109              1              12
## 280                                9 110              1              12
## 281                                9 111              1              12
## 282                                9 112              1              12
## 283                                9 113              1              12
## 284                                9 114              1              12
## 285                                9 117              1              12
## 286                                9 118              1              12
## 287                                9 119              1              12
## 288                                9 120              1              12
## 289                                9  81              1              12
## 290                                9  82              1              12
## 291                                9  83              1              12
## 292                                9  84              1              12
## 293                                9  87              1              12
## 294                                9  88              1              12
## 295                                9  89              1              12
## 296                                9  90              1              12
## 297                                9  91              1              12
## 298                                9  92              1              12
## 299                                9  93              1              12
## 300                                9  94              1              12
## 301                                9 107              1              12
## 302                                9 108              1              12
## 303                                9 109              1              12
## 304                                9 110              1              12
## 305                                9 111              1              12
## 306                                9 112              1              12
## 307                                9 113              1              12
## 308                                9 114              1              12
## 309                                9 117              1              12
## 310                                9 118              1              12
## 311                                9 119              1              12
## 312                                9 120              1              12
## 313                                9  81              1              12
## 314                                9  82              1              12
## 315                                9  83              1              12
## 316                                9  84              1              12
## 317                                9  87              1              12
## 318                                9  88              1              12
## 319                                9  89              1              12
## 320                                9  90              1              12
## 321                                9  91              1              12
## 322                                9  92              1              12
## 323                                9  93              1              12
## 324                                9  94              1              12
## 325                                9 107              1              12
## 326                                9 108              1              12
## 327                                9 109              1              12
## 328                                9 110              1              12
## 329                                9 111              1              12
## 330                                9 112              1              12
## 331                                9 113              1              12
## 332                                9 114              1              12
## 333                                9 117              1              12
## 334                                9 118              1              12
## 335                                9 119              1              12
## 336                                9 120              1              12
## 337                                9  81              1              12
## 338                                9  82              1              12
## 339                                9  83              1              12
## 340                                9  84              1              12
## 341                                9  87              1              12
## 342                                9  88              1              12
## 343                                9  89              1              12
## 344                                9  90              1              12
## 345                                9  91              1              12
## 346                                9  92              1              12
## 347                                9  93              1              12
## 348                                9  94              1              12
## 349                                9 107              1              12
## 350                                9 108              1              12
## 351                                9 109              1              12
## 352                                9 110              1              12
## 353                                9 111              1              12
## 354                                9 112              1              12
## 355                                9 113              1              12
## 356                                9 114              1              12
## 357                                9 117              1              12
## 358                                9 118              1              12
## 359                                9 119              1              12
## 360                                9 120              1              12
## 361                                9  81              1              12
## 362                                9  82              1              12
## 363                                9  83              1              12
## 364                                9  84              1              12
## 365                                9  87              1              12
## 366                                9  88              1              12
## 367                                9  89              1              12
## 368                                9  90              1              12
## 369                                9  91              1              12
## 370                                9  92              1              12
## 371                                9  93              1              12
## 372                                9  94              1              12
## 373                                9 107              1              12
## 374                                9 108              1              12
## 375                                9 109              1              12
## 376                                9 110              1              12
## 377                                9 111              1              12
## 378                                9 112              1              12
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## 2007                               8  81              3              11
## 2008                               8  82              3              11
## 2009                               8 101              3              11
## 2010                               8 102              3              11
## 2011                               8 109              3              11
## 2012                               8 110              3              11
## 2013                               8 114              3              11
## 2014                               8 115              3              11
## 2015                               8 116              3              11
## 2016                               8 117              3              11
## 2017                               8  16              3              11
## 2018                               8  17              3              11
## 2019                               8  24              3              11
## 2020                               8  25              3              11
## 2021                               8  44              3              11
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## 2159                              10 104              3              12
## 2160                              10 105              3              12
## 2161                              10   4              3              12
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##  [ reached 'max' / getOption("max.print") -- omitted 7289 rows ]

Filter according to disturbance

Here I’m filtering patches to have only the ones with disturbance high.

#Filter data sets according to the global disturbance
ds_individuals = ds_individuals %>%
  filter(disturbance == disturbance_global_input)
ds_patches = ds_patches %>%
  filter(disturbance == disturbance_global_input)
ds_patches_effect_size = ds_patches_effect_size %>%
  filter(disturbance == disturbance_global_input)
ds_metaecosystems = ds_metaecosystems %>%
  filter(disturbance == disturbance_global_input)
ds_classes = ds_classes %>%
  filter(disturbance == disturbance_global_input)
ds_classes_effect_size = ds_classes_effect_size %>%
  filter(disturbance == disturbance_global_input)

Plots & Analysis

All Meta-ecosystems

metaecosystem_type_i = c("Small-Small meta-ecosystem",
                         "Medium-Medium meta-ecosystem",
                         "Medium-Medium isolated",
                         "Large-Large meta-ecosystem",
                         "Small-Large meta-ecosystem",
                         "Small-Large isolated")

Biomass

response_variable = "total_metaecosystem_bioarea_mm2"
plot.metaecos.points(ds_metaecosystems,
                     metaecosystem_type_i,
                     response_variable,
                     3)

Boxplots
plot.metaecos.boxplots(ds_metaecosystems,
                       metaecosystem_type_i,
                       response_variable)
Replicates
plot.metaecos.replicates(ds_metaecosystems,
                         metaecosystem_type_i,
                         response_variable)

Alpha (mean Shannon)

response_variable = "mean_shannon"
plot.metaecos.points(ds_metaecosystems,
                     metaecosystem_type_i,
                     response_variable,
                     3)

Boxplots
plot.metaecos.boxplots(ds_metaecosystems,
                       metaecosystem_type_i,
                       response_variable)
Replicates
plot.metaecos.replicates(ds_metaecosystems,
                         metaecosystem_type_i,
                         response_variable)

Beta (Bray-Curtis)

response_variable = "bray_curtis"
plot.metaecos.points(ds_metaecosystems,
                     metaecosystem_type_i,
                     response_variable,
                     3)

Boxplots
plot.metaecos.boxplots(ds_metaecosystems,
                       metaecosystem_type_i,
                       response_variable)
## Warning: Removed 2 rows containing non-finite values (`stat_boxplot()`).
Replicates
plot.metaecos.replicates(ds_metaecosystems,
                         metaecosystem_type_i,
                         response_variable)
## Warning: Removed 2 rows containing non-finite values (`stat_summary()`).

Gamma (regional richness)

response_variable = "metaecosystem_richness"
plot.metaecos.points(ds_metaecosystems,
                     metaecosystem_type_i,
                     response_variable,
                     3)

Boxplots
plot.metaecos.boxplots(ds_metaecosystems,
                       metaecosystem_type_i,
                       response_variable)
Replicates
plot.metaecos.replicates(ds_metaecosystems,
                         metaecosystem_type_i,
                         response_variable)

MM vs SL

Biomass

response_variable = "total_metaecosystem_bioarea_mm2"
metaecosystem_type_i = c("Medium-Medium meta-ecosystem",
                         "Medium-Medium isolated",
                         "Small-Large meta-ecosystem",
                         "Small-Large isolated")
plot.metaecos.points(ds_metaecosystems,
                     metaecosystem_type_i,
                     response_variable,
                     3)

Boxplots
plot.metaecos.boxplots(ds_metaecosystems,
                       metaecosystem_type_i,
                       response_variable)
Replicates
plot.metaecos.replicates(ds_metaecosystems,
                         metaecosystem_type_i,
                         response_variable)
MM vs SL meta-ecosystems
metaecosystem_type_i = c("Medium-Medium meta-ecosystem",
                         "Small-Large meta-ecosystem")
filtered_data = ds_metaecosystems %>%
                         filter(time_point >= first_time_point_model,
                                time_point <= last_time_point_model,
                                metaecosystem_type %in% metaecosystem_type_i)
plot.metaecos.points(filtered_data,
                     metaecosystem_type_i,
                     response_variable)

Null model
null_model = lmer(
  get(response_variable) ~
    day + 
    (day | system_nr), 
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_symmetry and patch_size_symmetry : day)
full_model = lmer(
  get(response_variable) ~
    day + 
    patch_size_symmetry +
    patch_size_symmetry : day + 
    (day | system_nr), 
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## get(response_variable) ~ day + patch_size_symmetry + patch_size_symmetry:day +  
##     (day | system_nr)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    588.7    605.5   -286.4    572.7       52 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -1.99  -0.70  -0.08   0.63   2.84 
## 
## Random effects:
##  Groups    Name        Variance Std.Dev. Corr 
##  system_nr (Intercept) 1662     41            
##            day            3      2       -1.00
##  Residual               672     26            
## Number of obs: 60, groups:  system_nr, 10
## 
## Fixed effects:
##                                  Estimate Std. Error t value
## (Intercept)                           201         23       9
## day                                    -6          1      -6
## patch_size_symmetrysymmetric           54         32       2
## day:patch_size_symmetrysymmetric       -2          1      -2
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.965              
## ptch_sz_sym -0.707  0.683       
## dy:ptch_sz_  0.683 -0.707 -0.965
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" System nr: ", filtered_data$system_nr, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Meta-ecosystem: ", filtered_data$metaecosystem_type, "<br>",
                         "Tot Biomass: ", round(filtered_data$total_metaecosystem_bioarea_mm2, digits = 0), "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model")

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1      1.3   0.264     none

 
 
 

Reduced model (with patch_size_symmetry)
reduced_model = lmer(
  get(response_variable) ~
    day + 
    patch_size_symmetry + 
    (day | system_nr), 
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_symmetry + (day | system_nr)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    588.8    603.5   -287.4    574.8       53 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -2.04  -0.75   0.02   0.63   2.92 
## 
## Random effects:
##  Groups    Name        Variance Std.Dev. Corr 
##  system_nr (Intercept) 2193     47            
##            day            4      2       -1.00
##  Residual               678     26            
## Number of obs: 60, groups:  system_nr, 10
## 
## Fixed effects:
##                              Estimate Std. Error t value
## (Intercept)                     224.9       18.1    12.5
## day                              -7.5        0.8    -9.6
## patch_size_symmetrysymmetric      6.9        8.3     0.8
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.946       
## ptch_sz_sym -0.229  0.000
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" System nr: ", filtered_data$system_nr, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Meta-ecosystem: ", filtered_data$metaecosystem_type, "<br>",
                         "Tot Biomass: ", round(filtered_data$total_metaecosystem_bioarea_mm2, digits = 0), "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model")

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1      1.4   0.454     none
results_table = fill.results.table(
  results_table,
  response_variable,
  metaecosystem_type_i,
  model_stats_full,
  model_stats_fixed
)
SL (meta-ecosystems vs isolated)
metaecosystem_type_i = c("Small-Large meta-ecosystem",
                         "Small-Large isolated")
filtered_data = ds_metaecosystems %>%
                         filter(time_point >= first_time_point_model,
                                time_point <= last_time_point_model,
                                metaecosystem_type %in% metaecosystem_type_i)
plot.metaecos.points(filtered_data,
                     metaecosystem_type_i,
                     response_variable)

The p-values and ΔAIC of the connection are computed for all possible combinations of the isolated patches, creating a p-value and ΔAIC distributions. We keep as p-value and ΔAIC of the comparison the mean of such distributions.

Click for bootstrapping ΔAIC and p-value

 

If you see “Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel = ## 1e-15, : unused control arguments ignored”, Ignore it. It just means that you didn’t pass the control argument to the Nelder_Mead optimiser, so it uses the default.

# Compute stats for all patch combinations 

isolated_combinations_sets_filtered =  isolated_combinations_sets %>%
  filter(disturbance == disturbance_global_input,
         metaecosystem_type %in% metaecosystem_type_i)

n_sets = isolated_combinations_sets_filtered %>%
  pull(set) %>%
  max()

iterated_results_table = data.frame(
  Response = as.character(NA),
  Levels = as.character(NA),
  ΔAIC_full = NA,
  p_full = NA,
  ΔR2_full = NA,
  ΔAIC_fix = NA,
  p_fix = NA,
  ΔR2_fix = NA,
  combination_set = NA,
  system_nr_isolated_systems = as.character(NA)
) %>%
  slice(-1)

for (set_input in 1:n_sets) {
  
  system_nr_isolated_systems_input = isolated_combinations_sets_filtered %>%
    filter(
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "isolated",
      set == set_input
    ) %>%
    pull(system_nr)
  
  filtered_data = ds_metaecosystems %>%
    filter(
      time_point >= first_time_point_model,
      time_point <= last_time_point_model,
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "connected" |
        (connection == "isolated" &
           system_nr %in% system_nr_isolated_systems_input)
    )
  
  null_model = lmer(
    get(response_variable) ~
      day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  full_model = lmer(
    get(response_variable) ~
      day +
      connection +
      connection:day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_full = compute.model.stats(full_model,
                                         null_model,
                                         "mixed_model")
  
  reduced_model = lmer(
    get(response_variable) ~
      day +
      connection +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_fixed = compute.model.stats(reduced_model,
                                          null_model,
                                          "mixed_model")
  
  iterated_results_table = fill.results.table(
    iterated_results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )
  
  iterated_results_table$set[nrow(iterated_results_table)] = set_input
  iterated_results_table$system_nr_isolated_systems[nrow(iterated_results_table)] = paste(system_nr_isolated_systems_input, collapse = " ")
}
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored

 
 
 

Full model (with connection and connection : day)
Click for ΔAIC and p-value distributions
hist(iterated_results_table$ΔAIC_full, main = "Distribution of ΔAIC of the full model.") 

hist(iterated_results_table$p_full, main = "Distribution of p-values of the full model.") 
model_stats_full = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_full),
  p_value = mean(iterated_results_table$p_full),
  R2 = NA
)

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value    evidence
## 1     -5.1   0.011 ** moderate
Click for which system nr produced which AIC in the full model
iterated_results_table %>% 
  select(system_nr_isolated_systems,
         ΔAIC_full) %>%
  arrange(ΔAIC_full)
##     system_nr_isolated_systems ΔAIC_full
## 1          1029 1035 1038 1042 -6.022025
## 2          1028 1035 1039 1042 -6.009392
## 3          1029 1032 1038 1045 -5.980998
## 4          1028 1035 1036 1042 -5.971627
## 5          1028 1032 1039 1045 -5.968418
## 6          1029 1035 1037 1043 -5.964009
## 7          1030 1032 1039 1043 -5.953994
## 8          1030 1033 1039 1042 -5.952080
## 9          1027 1035 1039 1043 -5.950406
## 10         1026 1035 1038 1042 -5.949312
## 11         1030 1032 1038 1044 -5.935165
## 12         1030 1034 1038 1042 -5.933681
## 13         1027 1035 1038 1041 -5.932083
## 14         1028 1035 1037 1041 -5.932061
## 15         1027 1035 1036 1043 -5.931435
## 16         1028 1035 1037 1044 -5.931425
## 17         1027 1035 1038 1044 -5.930187
## 18         1028 1032 1036 1045 -5.929937
## 19         1029 1033 1037 1045 -5.922847
## 20         1029 1032 1040 1043 -5.915603
## 21         1029 1033 1040 1042 -5.913018
## 22         1027 1033 1039 1045 -5.911002
## 23         1026 1035 1037 1043 -5.910253
## 24         1026 1032 1038 1045 -5.907733
## 25         1028 1034 1037 1045 -5.891026
## 26         1027 1034 1038 1045 -5.890883
## 27         1027 1033 1036 1045 -5.890744
## 28         1030 1032 1036 1043 -5.885985
## 29         1030 1032 1038 1041 -5.885243
## 30         1028 1032 1040 1044 -5.884380
## 31         1030 1033 1036 1042 -5.882925
## 32         1028 1034 1040 1042 -5.882767
## 33         1030 1033 1037 1044 -5.875438
## 34         1030 1034 1037 1043 -5.875257
## 35         1027 1031 1038 1045 -5.873727
## 36         1028 1031 1037 1045 -5.873315
## 37         1026 1033 1037 1045 -5.870195
## 38         1030 1031 1038 1042 -5.864916
## 39         1028 1032 1040 1041 -5.845141
## 40         1030 1033 1037 1041 -5.842017
## 41         1030 1031 1037 1043 -5.826602
## 42         1027 1033 1040 1044 -5.826177
## 43         1027 1034 1040 1043 -5.825908
## 44         1028 1031 1040 1042 -5.825505
## 45         1026 1032 1040 1043 -5.825061
## 46         1026 1033 1040 1042 -5.823777
## 47         1027 1033 1040 1041 -5.805192
## 48         1027 1031 1040 1043 -5.789613
## 49         1029 1035 1036 1042 -5.251301
## 50         1029 1035 1037 1041 -5.214670
## 51         1029 1032 1036 1045 -5.213476
## 52         1026 1035 1039 1042 -5.206071
## 53         1030 1032 1039 1041 -5.199912
## 54         1027 1035 1039 1041 -5.195244
## 55         1030 1031 1039 1042 -5.186668
## 56         1029 1032 1040 1041 -5.170284
## 57         1030 1034 1036 1042 -5.168899
## 58         1026 1032 1039 1045 -5.168465
## 59         1029 1031 1037 1045 -5.165148
## 60         1030 1032 1036 1044 -5.161803
## 61         1029 1031 1040 1042 -5.156784
## 62         1027 1035 1036 1044 -5.155613
## 63         1027 1031 1039 1045 -5.146903
## 64         1030 1034 1037 1041 -5.131450
## 65         1026 1035 1037 1044 -5.130977
## 66         1027 1034 1036 1045 -5.127348
## 67         1030 1031 1037 1044 -5.112757
## 68         1026 1034 1037 1045 -5.102779
## 69         1026 1034 1040 1042 -5.096091
## 70         1026 1032 1040 1044 -5.088332
## 71         1027 1034 1040 1041 -5.084501
## 72         1027 1031 1040 1044 -5.065938
## 73         1029 1033 1036 1042 -4.434082
## 74         1029 1031 1038 1042 -4.432915
## 75         1029 1032 1038 1041 -4.430208
## 76         1028 1031 1039 1042 -4.415847
## 77         1028 1032 1039 1041 -4.412631
## 78         1029 1032 1036 1043 -4.405513
## 79         1029 1033 1037 1041 -4.405467
## 80         1029 1031 1037 1043 -4.381131
## 81         1028 1034 1036 1042 -4.376436
## 82         1026 1033 1039 1042 -4.374303
## 83         1027 1033 1039 1041 -4.367195
## 84         1028 1032 1036 1044 -4.349511
## 85         1028 1034 1037 1041 -4.348239
## 86         1026 1032 1039 1043 -4.344340
## 87         1027 1031 1039 1043 -4.342572
## 88         1026 1034 1038 1042 -4.333840
## 89         1027 1034 1038 1041 -4.326583
## 90         1028 1031 1037 1044 -4.326530
## 91         1026 1032 1038 1044 -4.306005
## 92         1027 1031 1038 1044 -4.304605
## 93         1027 1033 1036 1044 -4.304519
## 94         1029 1033 1036 1045 -4.304489
## 95         1027 1034 1036 1043 -4.301859
## 96         1029 1035 1038 1041 -4.301289
## 97         1029 1035 1036 1043 -4.296825
## 98         1028 1035 1039 1041 -4.295904
## 99         1029 1031 1038 1045 -4.292952
## 100        1028 1031 1039 1045 -4.287696
## 101        1026 1033 1037 1044 -4.284830
## 102        1026 1034 1037 1043 -4.282201
## 103        1026 1033 1039 1045 -4.273499
## 104        1026 1035 1039 1043 -4.265870
## 105        1028 1035 1036 1044 -4.244515
## 106        1028 1034 1036 1045 -4.241291
## 107        1029 1033 1040 1041 -4.224922
## 108        1030 1033 1039 1041 -4.222213
## 109        1026 1035 1038 1044 -4.218484
## 110        1026 1034 1038 1045 -4.215300
## 111        1029 1031 1040 1043 -4.209660
## 112        1030 1031 1039 1043 -4.206887
## 113        1030 1033 1036 1044 -4.173196
## 114        1030 1034 1038 1041 -4.166109
## 115        1028 1034 1040 1041 -4.163908
## 116        1030 1031 1038 1044 -4.161992
## 117        1030 1034 1036 1043 -4.161909
## 118        1028 1031 1040 1044 -4.159809
## 119        1026 1033 1040 1044 -4.146483
## 120        1026 1034 1040 1043 -4.135442

 
 
 

Reduced model (with connection)
Click for ΔAIC and p-value dsitributions
hist(iterated_results_table$ΔAIC_fix, main = "Distribution of ΔAIC of the fixed model.") 

hist(iterated_results_table$p_fix, main = "Distribution of p-values of the fixed model.") 
model_stats_fixed = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_fix),
  p_value = mean(iterated_results_table$p_fix),
  R2 = NA
)

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value   evidence
## 1     -6.9   0.003 *** strong
results_table = fill.results.table(
    results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )
MM (meta-ecosystems vs isolated)
metaecosystem_type_i = c("Medium-Medium meta-ecosystem",
                         "Medium-Medium isolated")
filtered_data = ds_metaecosystems %>%
                         filter(time_point >= first_time_point_model,
                                time_point <= last_time_point_model,
                                metaecosystem_type %in% metaecosystem_type_i)
plot.metaecos.points(filtered_data,
                     metaecosystem_type_i,
                     response_variable)

The p-values and ΔAIC of the connection are computed for all possible combinations of the isolated patches, creating a p-value and ΔAIC distributions. We keep as p-value and ΔAIC of the comparison the mean of such distributions.

Click for bootstrapping ΔAIC and p-value

 

If you see “Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel = ## 1e-15, : unused control arguments ignored”, Ignore it. It just means that you didn’t pass the control argument to the Nelder_Mead optimiser, so it uses the default.

# Compute stats for all patch combinations 

isolated_combinations_sets_filtered =  isolated_combinations_sets %>%
  filter(disturbance == disturbance_global_input,
         metaecosystem_type %in% metaecosystem_type_i)

n_sets = isolated_combinations_sets_filtered %>%
  pull(set) %>%
  max()

iterated_results_table = data.frame(
  Response = as.character(NA),
  Levels = as.character(NA),
  ΔAIC_full = NA,
  p_full = NA,
  ΔR2_full = NA,
  ΔAIC_fix = NA,
  p_fix = NA,
  ΔR2_fix = NA,
  combination_set = NA,
  system_nr_isolated_systems = as.character(NA)
) %>%
  slice(-1)

for (set_input in 1:n_sets) {
  
  system_nr_isolated_systems_input = isolated_combinations_sets_filtered %>%
    filter(
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "isolated",
      set == set_input
    ) %>%
    pull(system_nr)
  
  filtered_data = ds_metaecosystems %>%
    filter(
      time_point >= first_time_point_model,
      time_point <= last_time_point_model,
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "connected" |
        (connection == "isolated" &
           system_nr %in% system_nr_isolated_systems_input)
    )
  
  null_model = lmer(
    get(response_variable) ~
      day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  full_model = lmer(
    get(response_variable) ~
      day +
      connection +
      connection:day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_full = compute.model.stats(full_model,
                                         null_model,
                                         "mixed_model")
  
  reduced_model = lmer(
    get(response_variable) ~
      day +
      connection +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_fixed = compute.model.stats(reduced_model,
                                          null_model,
                                          "mixed_model")
  
  iterated_results_table = fill.results.table(
    iterated_results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )
  
  iterated_results_table$set[nrow(iterated_results_table)] = set_input
  iterated_results_table$system_nr_isolated_systems[nrow(iterated_results_table)] = paste(system_nr_isolated_systems_input, collapse = " ")
}
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
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## 1e-15, : unused control arguments ignored
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
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## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## 1e-15, : unused control arguments ignored
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
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## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## 1e-15, : unused control arguments ignored
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## 1e-15, : unused control arguments ignored
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## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored

 
 
 

Full model (with connection and connection : day)
Click for ΔAIC and p-value distributions
hist(iterated_results_table$ΔAIC_full, main = "Distribution of ΔAIC of the full model.") 

hist(iterated_results_table$p_full, main = "Distribution of p-values of the full model.") 
model_stats_full = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_full),
  p_value = mean(iterated_results_table$p_full),
  R2 = NA
)

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1      0.3   0.167     none
Click for which system nr produced which AIC in the full model
iterated_results_table %>% 
  select(system_nr_isolated_systems,
         ΔAIC_full) %>%
  arrange(ΔAIC_full)
##    system_nr_isolated_systems   ΔAIC_full
## 1                   1056 1065 -0.62042593
## 2                   1065 1056 -0.62042593
## 3                   1058 1062 -0.49794844
## 4                   1062 1058 -0.49794844
## 5                   1056 1064 -0.26493674
## 6                   1064 1056 -0.26493674
## 7                   1059 1061 -0.20354500
## 8                   1061 1059 -0.20354500
## 9                   1057 1062 -0.19138169
## 10                  1062 1057 -0.19138169
## 11                  1057 1065  0.02135567
## 12                  1065 1057  0.02135567
## 13                  1058 1064  0.05043751
## 14                  1064 1058  0.05043751
## 15                  1059 1060  0.10548001
## 16                  1060 1059  0.10548001
## 17                  1059 1063  0.34923867
## 18                  1063 1059  0.34923867
## 19                  1060 1065  0.74571276
## 20                  1065 1060  0.74571276
## 21                  1061 1064  0.76203591
## 22                  1064 1061  0.76203591
## 23                  1062 1063  0.84585905
## 24                  1063 1062  0.84585905
## 25                  1058 1060  1.20377042
## 26                  1060 1058  1.20377042
## 27                  1057 1061  1.22459781
## 28                  1061 1057  1.22459781
## 29                  1056 1063  1.24283225
## 30                  1063 1056  1.24283225

 
 
 

Reduced model (with connection)
Click for ΔAIC and p-value dsitributions
hist(iterated_results_table$ΔAIC_fix, main = "Distribution of ΔAIC of the fixed model.") 

hist(iterated_results_table$p_fix, main = "Distribution of p-values of the fixed model.") 
model_stats_fixed = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_fix),
  p_value = mean(iterated_results_table$p_fix),
  R2 = NA
)

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1      0.9   0.356     none
results_table = fill.results.table(
    results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )

Alpha (mean Shannon)

response_variable = "mean_shannon"
metaecosystem_type_i = c("Medium-Medium meta-ecosystem",
                         "Medium-Medium isolated",
                         "Small-Large meta-ecosystem",
                         "Small-Large isolated")
plot.metaecos.points(ds_metaecosystems,
                     metaecosystem_type_i,
                     response_variable,
                     3)

Boxplots
plot.metaecos.boxplots(ds_metaecosystems,
                       metaecosystem_type_i,
                       response_variable)
Replicates
plot.metaecos.replicates(ds_metaecosystems,
                         metaecosystem_type_i,
                         response_variable)
MM vs SL meta-ecosystems
metaecosystem_type_i = c("Medium-Medium meta-ecosystem",
                         "Small-Large meta-ecosystem")
filtered_data = ds_metaecosystems %>%
                         filter(time_point >= first_time_point_model,
                                time_point <= last_time_point_model,
                                metaecosystem_type %in% metaecosystem_type_i)
plot.metaecos.points(filtered_data,
                     metaecosystem_type_i,
                     response_variable)

Null model
null_model = lmer(
  get(response_variable) ~
    day + 
    (day | system_nr), 
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_symmetry and patch_size_symmetry : day)
full_model = lmer(
  get(response_variable) ~
    day + 
    patch_size_symmetry +
    patch_size_symmetry : day + 
    (day | system_nr), 
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## get(response_variable) ~ day + patch_size_symmetry + patch_size_symmetry:day +  
##     (day | system_nr)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##     -0.4     16.4      8.2    -16.4       52 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -2.19  -0.58   0.02   0.63   2.23 
## 
## Random effects:
##  Groups    Name        Variance Std.Dev. Corr 
##  system_nr (Intercept) 1e-03    0.032         
##            day         3e-05    0.006    -1.00
##  Residual              4e-02    0.200         
## Number of obs: 60, groups:  system_nr, 10
## 
## Fixed effects:
##                                  Estimate Std. Error t value
## (Intercept)                         1.621      0.104      16
## day                                -0.029      0.006      -5
## patch_size_symmetrysymmetric       -0.202      0.147      -1
## day:patch_size_symmetrysymmetric    0.026      0.008       3
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.898              
## ptch_sz_sym -0.707  0.635       
## dy:ptch_sz_  0.635 -0.707 -0.898
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" System nr: ", filtered_data$system_nr, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Meta-ecosystem: ", filtered_data$metaecosystem_type, "<br>",
                         "Tot Biomass: ", round(filtered_data$total_metaecosystem_bioarea_mm2, digits = 0), "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model")

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value   evidence
## 1     -7.3   0.003 *** strong

 
 
 

Reduced model (with patch_size_symmetry)
reduced_model = lmer(
  get(response_variable) ~
    day + 
    patch_size_symmetry + 
    (day | system_nr), 
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_symmetry + (day | system_nr)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##      5.3     19.9      4.4     -8.7       53 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -2.12  -0.42  -0.05   0.66   2.05 
## 
## Random effects:
##  Groups    Name        Variance Std.Dev. Corr 
##  system_nr (Intercept) 2e-02    0.14          
##            day         2e-04    0.01     -1.00
##  Residual              4e-02    0.21          
## Number of obs: 60, groups:  system_nr, 10
## 
## Fixed effects:
##                              Estimate Std. Error t value
## (Intercept)                     1.428      0.093      15
## day                            -0.016      0.005      -3
## patch_size_symmetrysymmetric    0.184      0.064       3
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.871       
## ptch_sz_sym -0.347  0.000
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" System nr: ", filtered_data$system_nr, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Meta-ecosystem: ", filtered_data$metaecosystem_type, "<br>",
                         "Tot Biomass: ", round(filtered_data$total_metaecosystem_bioarea_mm2, digits = 0), "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model")

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1     -1.7   0.056   * weak
results_table = fill.results.table(
  results_table,
  response_variable,
  metaecosystem_type_i,
  model_stats_full,
  model_stats_fixed
)
SL (meta-ecosystems vs isolated)
metaecosystem_type_i = c("Small-Large meta-ecosystem",
                         "Small-Large isolated")
filtered_data = ds_metaecosystems %>%
                         filter(time_point >= first_time_point_model,
                                time_point <= last_time_point_model,
                                metaecosystem_type %in% metaecosystem_type_i)
plot.metaecos.points(filtered_data,
                     metaecosystem_type_i,
                     response_variable)

The p-values and ΔAIC of the connection are computed for all possible combinations of the isolated patches, creating a p-value and ΔAIC distributions. We keep as p-value and ΔAIC of the comparison the mean of such distributions.

Click for bootstrapping ΔAIC and p-value

 

If you see “Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel = ## 1e-15, : unused control arguments ignored”, Ignore it. It just means that you didn’t pass the control argument to the Nelder_Mead optimiser, so it uses the default.

# Compute stats for all patch combinations 

isolated_combinations_sets_filtered =  isolated_combinations_sets %>%
  filter(disturbance == disturbance_global_input,
         metaecosystem_type %in% metaecosystem_type_i)

n_sets = isolated_combinations_sets_filtered %>%
  pull(set) %>%
  max()

iterated_results_table = data.frame(
  Response = as.character(NA),
  Levels = as.character(NA),
  ΔAIC_full = NA,
  p_full = NA,
  ΔR2_full = NA,
  ΔAIC_fix = NA,
  p_fix = NA,
  ΔR2_fix = NA,
  combination_set = NA,
  system_nr_isolated_systems = as.character(NA)
) %>%
  slice(-1)

for (set_input in 1:n_sets) {
  
  system_nr_isolated_systems_input = isolated_combinations_sets_filtered %>%
    filter(
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "isolated",
      set == set_input
    ) %>%
    pull(system_nr)
  
  filtered_data = ds_metaecosystems %>%
    filter(
      time_point >= first_time_point_model,
      time_point <= last_time_point_model,
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "connected" |
        (connection == "isolated" &
           system_nr %in% system_nr_isolated_systems_input)
    )
  
  null_model = lmer(
    get(response_variable) ~
      day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  full_model = lmer(
    get(response_variable) ~
      day +
      connection +
      connection:day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_full = compute.model.stats(full_model,
                                         null_model,
                                         "mixed_model")
  
  reduced_model = lmer(
    get(response_variable) ~
      day +
      connection +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_fixed = compute.model.stats(reduced_model,
                                          null_model,
                                          "mixed_model")
  
  iterated_results_table = fill.results.table(
    iterated_results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )
  
  iterated_results_table$set[nrow(iterated_results_table)] = set_input
  iterated_results_table$system_nr_isolated_systems[nrow(iterated_results_table)] = paste(system_nr_isolated_systems_input, collapse = " ")
}
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
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## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, :
## Model failed to converge with max|grad| = 0.00482332 (tol = 0.002, component 1)
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, :
## Model failed to converge with max|grad| = 0.0147445 (tol = 0.002, component 1)
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored

 
 
 

Full model (with connection and connection : day)
Click for ΔAIC and p-value distributions
hist(iterated_results_table$ΔAIC_full, main = "Distribution of ΔAIC of the full model.") 

hist(iterated_results_table$p_full, main = "Distribution of p-values of the full model.") 
model_stats_full = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_full),
  p_value = mean(iterated_results_table$p_full),
  R2 = NA
)

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1     -1.7   0.061   * weak
Click for which system nr produced which AIC in the full model
iterated_results_table %>% 
  select(system_nr_isolated_systems,
         ΔAIC_full) %>%
  arrange(ΔAIC_full)
##     system_nr_isolated_systems  ΔAIC_full
## 1          1030 1031 1037 1044 -3.2658662
## 2          1030 1031 1039 1042 -3.1902927
## 3          1026 1035 1037 1044 -3.1184539
## 4          1026 1035 1039 1042 -3.0498505
## 5          1029 1031 1040 1042 -2.9582525
## 6          1027 1031 1040 1044 -2.9161783
## 7          1029 1035 1036 1042 -2.8370408
## 8          1027 1035 1036 1044 -2.7773951
## 9          1026 1034 1040 1042 -2.7516252
## 10         1029 1031 1037 1045 -2.7318940
## 11         1030 1033 1037 1044 -2.7253151
## 12         1030 1034 1036 1042 -2.7137428
## 13         1030 1032 1036 1044 -2.7114029
## 14         1027 1031 1039 1045 -2.6823829
## 15         1030 1033 1039 1042 -2.6125976
## 16         1026 1032 1040 1044 -2.6074367
## 17         1028 1035 1037 1044 -2.5148704
## 18         1026 1033 1037 1044 -2.5148462
## 19         1026 1034 1037 1045 -2.5107510
## 20         1026 1032 1039 1045 -2.4777456
## 21         1028 1031 1037 1044 -2.4644361
## 22         1028 1035 1039 1042 -2.3997450
## 23         1029 1033 1040 1042 -2.3883546
## 24         1027 1033 1040 1044 -2.3422727
## 25         1026 1033 1039 1042 -2.3223480
## 26         1029 1035 1037 1041 -2.2911892
## 27         1028 1031 1039 1042 -2.2608060
## 28         1029 1033 1037 1045 -2.2388491
## 29         1027 1035 1039 1041 -2.2329835
## 30         1030 1034 1037 1041 -2.1858149
## 31         1030 1033 1036 1044 -2.1815047
## 32         1030 1032 1039 1041 -2.1812818
## 33         1029 1032 1036 1045 -2.1666678
## 34         1027 1034 1036 1045 -2.1360380
## 35         1027 1033 1036 1044 -2.1353277
## 36         1027 1033 1039 1045 -2.1347409
## 37         1028 1032 1040 1044 -2.1315380
## 38         1028 1034 1040 1042 -2.1114067
## 39         1029 1033 1036 1042 -2.1107839
## 40         1026 1033 1040 1044 -2.0926051
## 41         1029 1035 1038 1042 -2.0353298
## 42         1028 1031 1040 1044 -2.0241523
## 43         1028 1035 1036 1044 -1.9870485
## 44         1028 1032 1036 1044 -1.9830983
## 45         1028 1034 1037 1045 -1.9598801
## 46         1026 1033 1039 1045 -1.9486814
## 47         1029 1032 1040 1041 -1.9381692
## 48         1027 1035 1038 1044 -1.9306806
## 49         1030 1032 1038 1044 -1.9295017
## 50         1030 1034 1038 1042 -1.9220500
## 51         1028 1032 1039 1045 -1.9218019
## 52         1030 1031 1038 1044 -1.9169879
## 53         1027 1034 1040 1041 -1.9074780
## 54         1028 1031 1039 1045 -1.8794146
## 55         1027 1031 1038 1044 -1.8782998
## 56         1029 1031 1038 1042 -1.8673505
## 57         1028 1034 1036 1042 -1.8480452
## 58         1026 1035 1038 1044 -1.8019937
## 59         1029 1033 1037 1041 -1.7843168
## 60         1026 1032 1038 1044 -1.7648774
## 61         1030 1033 1039 1041 -1.7338144
## 62         1029 1033 1036 1045 -1.6803511
## 63         1026 1034 1038 1042 -1.6750491
## 64         1027 1033 1039 1041 -1.5668099
## 65         1028 1035 1039 1041 -1.5647583
## 66         1028 1032 1039 1041 -1.5639659
## 67         1030 1033 1036 1042 -1.5109156
## 68         1026 1033 1037 1045 -1.5017169
## 69         1029 1033 1040 1041 -1.4493556
## 70         1029 1032 1038 1045 -1.4477843
## 71         1026 1033 1040 1042 -1.4287577
## 72         1027 1034 1038 1045 -1.4224364
## 73         1028 1034 1036 1045 -1.4035177
## 74         1029 1031 1038 1045 -1.4007823
## 75         1028 1031 1037 1045 -1.3837852
## 76         1028 1031 1040 1042 -1.3837003
## 77         1028 1034 1037 1041 -1.3704474
## 78         1029 1035 1037 1043 -1.3447447
## 79         1028 1035 1036 1042 -1.3379690
## 80         1030 1031 1038 1042 -1.3160477
## 81         1027 1035 1039 1043 -1.2746212
## 82         1030 1032 1039 1043 -1.2667283
## 83         1030 1031 1039 1043 -1.2581718
## 84         1027 1031 1039 1043 -1.2407733
## 85         1030 1034 1037 1043 -1.2155303
## 86         1026 1034 1038 1045 -1.2151508
## 87         1026 1035 1038 1042 -1.2088780
## 88         1029 1031 1037 1043 -1.2066846
## 89         1030 1033 1037 1041 -1.2051259
## 90         1028 1034 1040 1041 -1.1992563
## 91         1026 1032 1039 1043 -1.1679179
## 92         1026 1035 1039 1043 -1.1632386
## 93         1027 1033 1036 1045 -1.1346786
## 94         1029 1035 1038 1041 -1.0874779
## 95         1029 1032 1038 1041 -1.0622404
## 96         1026 1034 1037 1043 -1.0577309
## 97         1029 1032 1040 1043 -1.0517986
## 98         1028 1035 1037 1041 -1.0447430
## 99         1029 1032 1036 1043 -1.0353358
## 100        1027 1034 1040 1043 -1.0231825
## 101        1027 1034 1038 1041 -1.0063826
## 102        1030 1034 1038 1041 -0.9975399
## 103        1029 1031 1040 1043 -0.9887564
## 104        1028 1032 1036 1045 -0.9522282
## 105        1027 1031 1038 1045 -0.9286757
## 106        1027 1033 1040 1041 -0.9069473
## 107        1029 1035 1036 1043 -0.8866580
## 108        1026 1034 1040 1043 -0.8337482
## 109        1027 1034 1036 1043 -0.8147813
## 110        1030 1034 1036 1043 -0.7999913
## 111        1030 1031 1037 1043 -0.7969388
## 112        1026 1032 1038 1045 -0.7962529
## 113        1028 1032 1040 1041 -0.7396395
## 114        1026 1035 1037 1043 -0.7119218
## 115        1027 1035 1038 1041 -0.6161209
## 116        1030 1032 1038 1041 -0.5240635
## 117        1027 1031 1040 1043 -0.5222448
## 118        1027 1035 1036 1043 -0.4430857
## 119        1026 1032 1040 1043 -0.4377593
## 120        1030 1032 1036 1043 -0.3648467

 
 
 

Reduced model (with connection)
Click for ΔAIC and p-value dsitributions
hist(iterated_results_table$ΔAIC_fix, main = "Distribution of ΔAIC of the fixed model.") 

hist(iterated_results_table$p_fix, main = "Distribution of p-values of the fixed model.") 
model_stats_fixed = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_fix),
  p_value = mean(iterated_results_table$p_fix),
  R2 = NA
)

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value    evidence
## 1     -3.6   0.019 ** moderate
results_table = fill.results.table(
    results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )
MM (meta-ecosystems vs isolated)
metaecosystem_type_i = c("Medium-Medium meta-ecosystem",
                         "Medium-Medium isolated")
filtered_data = ds_metaecosystems %>%
                         filter(time_point >= first_time_point_model,
                                time_point <= last_time_point_model,
                                metaecosystem_type %in% metaecosystem_type_i)
plot.metaecos.points(filtered_data,
                     metaecosystem_type_i,
                     response_variable)

The p-values and ΔAIC of the connection are computed for all possible combinations of the isolated patches, creating a p-value and ΔAIC distributions. We keep as p-value and ΔAIC of the comparison the mean of such distributions.

Click for bootstrapping ΔAIC and p-value

 

If you see “Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel = ## 1e-15, : unused control arguments ignored”, Ignore it. It just means that you didn’t pass the control argument to the Nelder_Mead optimiser, so it uses the default.

# Compute stats for all patch combinations 

isolated_combinations_sets_filtered =  isolated_combinations_sets %>%
  filter(disturbance == disturbance_global_input,
         metaecosystem_type %in% metaecosystem_type_i)

n_sets = isolated_combinations_sets_filtered %>%
  pull(set) %>%
  max()

iterated_results_table = data.frame(
  Response = as.character(NA),
  Levels = as.character(NA),
  ΔAIC_full = NA,
  p_full = NA,
  ΔR2_full = NA,
  ΔAIC_fix = NA,
  p_fix = NA,
  ΔR2_fix = NA,
  combination_set = NA,
  system_nr_isolated_systems = as.character(NA)
) %>%
  slice(-1)

for (set_input in 1:n_sets) {
  
  system_nr_isolated_systems_input = isolated_combinations_sets_filtered %>%
    filter(
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "isolated",
      set == set_input
    ) %>%
    pull(system_nr)
  
  filtered_data = ds_metaecosystems %>%
    filter(
      time_point >= first_time_point_model,
      time_point <= last_time_point_model,
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "connected" |
        (connection == "isolated" &
           system_nr %in% system_nr_isolated_systems_input)
    )
  
  null_model = lmer(
    get(response_variable) ~
      day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  full_model = lmer(
    get(response_variable) ~
      day +
      connection +
      connection:day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_full = compute.model.stats(full_model,
                                         null_model,
                                         "mixed_model")
  
  reduced_model = lmer(
    get(response_variable) ~
      day +
      connection +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_fixed = compute.model.stats(reduced_model,
                                          null_model,
                                          "mixed_model")
  
  iterated_results_table = fill.results.table(
    iterated_results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )
  
  iterated_results_table$set[nrow(iterated_results_table)] = set_input
  iterated_results_table$system_nr_isolated_systems[nrow(iterated_results_table)] = paste(system_nr_isolated_systems_input, collapse = " ")
}
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored

 
 
 

Full model (with connection and connection : day)
Click for ΔAIC and p-value distributions
hist(iterated_results_table$ΔAIC_full, main = "Distribution of ΔAIC of the full model.") 

hist(iterated_results_table$p_full, main = "Distribution of p-values of the full model.") 
model_stats_full = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_full),
  p_value = mean(iterated_results_table$p_full),
  R2 = NA
)

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1      0.9   0.225     none
Click for which system nr produced which AIC in the full model
iterated_results_table %>% 
  select(system_nr_isolated_systems,
         ΔAIC_full) %>%
  arrange(ΔAIC_full)
##    system_nr_isolated_systems  ΔAIC_full
## 1                   1058 1062 -0.4481346
## 2                   1062 1058 -0.4481346
## 3                   1056 1065 -0.4075034
## 4                   1065 1056 -0.4075034
## 5                   1059 1061 -0.1183263
## 6                   1061 1059 -0.1183263
## 7                   1057 1062  0.5109625
## 8                   1062 1057  0.5109625
## 9                   1057 1061  0.5707120
## 10                  1061 1057  0.5707120
## 11                  1056 1064  0.6454787
## 12                  1064 1056  0.6454787
## 13                  1059 1060  0.7472458
## 14                  1060 1059  0.7472458
## 15                  1057 1065  0.7630824
## 16                  1065 1057  0.7630824
## 17                  1058 1060  0.7757166
## 18                  1060 1058  0.7757166
## 19                  1056 1063  1.0166883
## 20                  1063 1056  1.0166883
## 21                  1058 1064  1.1140341
## 22                  1064 1058  1.1140341
## 23                  1059 1063  1.4921890
## 24                  1063 1059  1.4921890
## 25                  1060 1065  1.9526951
## 26                  1065 1060  1.9526951
## 27                  1061 1064  2.0178706
## 28                  1064 1061  2.0178706
## 29                  1062 1063  2.2088481
## 30                  1063 1062  2.2088481

 
 
 

Reduced model (with connection)
Click for ΔAIC and p-value dsitributions
hist(iterated_results_table$ΔAIC_fix, main = "Distribution of ΔAIC of the fixed model.") 

hist(iterated_results_table$p_fix, main = "Distribution of p-values of the fixed model.") 
model_stats_fixed = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_fix),
  p_value = mean(iterated_results_table$p_fix),
  R2 = NA
)

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1     -0.6   0.115     none
results_table = fill.results.table(
    results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )

Beta (Bray-Curtis)

response_variable = "bray_curtis"
metaecosystem_type_i = c("Medium-Medium meta-ecosystem",
                         "Medium-Medium isolated",
                         "Small-Large meta-ecosystem",
                         "Small-Large isolated")
plot.metaecos.points(ds_metaecosystems,
                     metaecosystem_type_i,
                     response_variable,
                     3)

Boxplots
plot.metaecos.boxplots(ds_metaecosystems,
                       metaecosystem_type_i,
                       response_variable)
Replicates
plot.metaecos.replicates(ds_metaecosystems,
                         metaecosystem_type_i,
                         response_variable)
MM vs SL meta-ecosystems
metaecosystem_type_i = c("Medium-Medium meta-ecosystem",
                         "Small-Large meta-ecosystem")
filtered_data = ds_metaecosystems %>%
                         filter(time_point >= first_time_point_model,
                                time_point <= last_time_point_model,
                                metaecosystem_type %in% metaecosystem_type_i)
plot.metaecos.points(filtered_data,
                     metaecosystem_type_i,
                     response_variable)

Null model
null_model = lmer(
  get(response_variable) ~
    day + 
    (day | system_nr), 
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_symmetry and patch_size_symmetry : day)
full_model = lmer(
  get(response_variable) ~
    day + 
    patch_size_symmetry +
    patch_size_symmetry : day + 
    (day | system_nr), 
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## get(response_variable) ~ day + patch_size_symmetry + patch_size_symmetry:day +  
##     (day | system_nr)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    -63.4    -46.7     39.7    -79.4       52 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -2.22  -0.58  -0.02   0.47   1.95 
## 
## Random effects:
##  Groups    Name        Variance Std.Dev. Corr
##  system_nr (Intercept) 3e-04    0.018        
##            day         6e-06    0.002    1.00
##  Residual              1e-02    0.114        
## Number of obs: 60, groups:  system_nr, 10
## 
## Fixed effects:
##                                  Estimate Std. Error t value
## (Intercept)                         0.383      0.059     6.4
## day                                 0.017      0.003     5.3
## patch_size_symmetrysymmetric        0.009      0.084     0.1
## day:patch_size_symmetrysymmetric   -0.013      0.005    -2.9
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.828              
## ptch_sz_sym -0.707  0.586       
## dy:ptch_sz_  0.586 -0.707 -0.828
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" System nr: ", filtered_data$system_nr, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Meta-ecosystem: ", filtered_data$metaecosystem_type, "<br>",
                         "Tot Biomass: ", round(filtered_data$total_metaecosystem_bioarea_mm2, digits = 0), "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model")

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value   evidence
## 1     -8.7   0.002 *** strong

 
 
 

Reduced model (with patch_size_symmetry)
reduced_model = lmer(
  get(response_variable) ~
    day + 
    patch_size_symmetry + 
    (day | system_nr), 
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_symmetry + (day | system_nr)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    -58.5    -43.8     36.2    -72.5       53 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.5   -0.7    0.0    0.6    1.9 
## 
## Random effects:
##  Groups    Name        Variance Std.Dev. Corr 
##  system_nr (Intercept) 1e-03    0.034         
##            day         3e-05    0.006    -1.00
##  Residual              1e-02    0.119         
## Number of obs: 60, groups:  system_nr, 10
## 
## Fixed effects:
##                              Estimate Std. Error t value
## (Intercept)                     0.473      0.050       9
## day                             0.011      0.003       4
## patch_size_symmetrysymmetric   -0.171      0.045      -4
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.768       
## ptch_sz_sym -0.453  0.000
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" System nr: ", filtered_data$system_nr, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Meta-ecosystem: ", filtered_data$metaecosystem_type, "<br>",
                         "Tot Biomass: ", round(filtered_data$total_metaecosystem_bioarea_mm2, digits = 0), "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model")

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value    evidence
## 1     -3.8   0.016 ** moderate
results_table = fill.results.table(
  results_table,
  response_variable,
  metaecosystem_type_i,
  model_stats_full,
  model_stats_fixed
)
SL (meta-ecosystems vs isolated)
metaecosystem_type_i = c("Small-Large meta-ecosystem",
                         "Small-Large isolated")
filtered_data = ds_metaecosystems %>%
                         filter(time_point >= first_time_point_model,
                                time_point <= last_time_point_model,
                                metaecosystem_type %in% metaecosystem_type_i)
plot.metaecos.points(filtered_data,
                     metaecosystem_type_i,
                     response_variable)

The p-values and ΔAIC of the connection are computed for all possible combinations of the isolated patches, creating a p-value and ΔAIC distributions. We keep as p-value and ΔAIC of the comparison the mean of such distributions.

Click for bootstrapping ΔAIC and p-value

 

If you see “Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel = ## 1e-15, : unused control arguments ignored”, Ignore it. It just means that you didn’t pass the control argument to the Nelder_Mead optimiser, so it uses the default.

# Compute stats for all patch combinations 

isolated_combinations_sets_filtered =  isolated_combinations_sets %>%
  filter(disturbance == disturbance_global_input,
         metaecosystem_type %in% metaecosystem_type_i)

n_sets = isolated_combinations_sets_filtered %>%
  pull(set) %>%
  max()

iterated_results_table = data.frame(
  Response = as.character(NA),
  Levels = as.character(NA),
  ΔAIC_full = NA,
  p_full = NA,
  ΔR2_full = NA,
  ΔAIC_fix = NA,
  p_fix = NA,
  ΔR2_fix = NA,
  combination_set = NA,
  system_nr_isolated_systems = as.character(NA)
) %>%
  slice(-1)

for (set_input in 1:n_sets) {
  
  system_nr_isolated_systems_input = isolated_combinations_sets_filtered %>%
    filter(
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "isolated",
      set == set_input
    ) %>%
    pull(system_nr)
  
  filtered_data = ds_metaecosystems %>%
    filter(
      time_point >= first_time_point_model,
      time_point <= last_time_point_model,
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "connected" |
        (connection == "isolated" &
           system_nr %in% system_nr_isolated_systems_input)
    )
  
  null_model = lmer(
    get(response_variable) ~
      day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  full_model = lmer(
    get(response_variable) ~
      day +
      connection +
      connection:day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_full = compute.model.stats(full_model,
                                         null_model,
                                         "mixed_model")
  
  reduced_model = lmer(
    get(response_variable) ~
      day +
      connection +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_fixed = compute.model.stats(reduced_model,
                                          null_model,
                                          "mixed_model")
  
  iterated_results_table = fill.results.table(
    iterated_results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )
  
  iterated_results_table$set[nrow(iterated_results_table)] = set_input
  iterated_results_table$system_nr_isolated_systems[nrow(iterated_results_table)] = paste(system_nr_isolated_systems_input, collapse = " ")
}
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, :
## Model failed to converge with max|grad| = 0.00397541 (tol = 0.002, component 1)
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, :
## Model failed to converge with max|grad| = 0.00280091 (tol = 0.002, component 1)
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, :
## Model failed to converge with max|grad| = 0.00259059 (tol = 0.002, component 1)
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, :
## Model failed to converge with max|grad| = 0.0111113 (tol = 0.002, component 1)
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, :
## Model failed to converge with max|grad| = 0.00233093 (tol = 0.002, component 1)
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored

 
 
 

Full model (with connection and connection : day)
Click for ΔAIC and p-value distributions
hist(iterated_results_table$ΔAIC_full, main = "Distribution of ΔAIC of the full model.") 

hist(iterated_results_table$p_full, main = "Distribution of p-values of the full model.") 
model_stats_full = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_full),
  p_value = mean(iterated_results_table$p_full),
  R2 = NA
)

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value    evidence
## 1     -3.3   0.027 ** moderate
Click for which system nr produced which AIC in the full model
iterated_results_table %>% 
  select(system_nr_isolated_systems,
         ΔAIC_full) %>%
  arrange(ΔAIC_full)
##     system_nr_isolated_systems ΔAIC_full
## 1          1027 1033 1040 1044 -5.131031
## 2          1027 1034 1040 1043 -4.977195
## 3          1027 1034 1040 1041 -4.905636
## 4          1027 1031 1040 1044 -4.812797
## 5          1027 1033 1040 1041 -4.717979
## 6          1027 1034 1038 1041 -4.715167
## 7          1027 1034 1036 1045 -4.670136
## 8          1027 1035 1036 1044 -4.662253
## 9          1027 1033 1036 1044 -4.637807
## 10         1027 1034 1036 1043 -4.554477
## 11         1027 1031 1040 1043 -4.474211
## 12         1027 1033 1036 1045 -4.436319
## 13         1027 1033 1039 1045 -4.344398
## 14         1027 1035 1036 1043 -4.315984
## 15         1027 1035 1039 1043 -4.204646
## 16         1027 1035 1039 1041 -4.145796
## 17         1029 1032 1040 1043 -4.133475
## 18         1027 1033 1039 1041 -4.119206
## 19         1029 1032 1040 1041 -4.099971
## 20         1027 1031 1039 1045 -4.065356
## 21         1030 1032 1036 1044 -4.000025
## 22         1029 1033 1040 1041 -3.923811
## 23         1027 1031 1039 1043 -3.877826
## 24         1027 1035 1038 1044 -3.850639
## 25         1029 1032 1036 1045 -3.837177
## 26         1027 1034 1038 1045 -3.836793
## 27         1030 1033 1036 1044 -3.794418
## 28         1029 1031 1040 1043 -3.701014
## 29         1030 1032 1036 1043 -3.683937
## 30         1029 1032 1036 1043 -3.683740
## 31         1028 1032 1040 1044 -3.674511
## 32         1026 1032 1040 1044 -3.632629
## 33         1030 1034 1036 1043 -3.631710
## 34         1030 1032 1039 1043 -3.628881
## 35         1030 1032 1039 1041 -3.617396
## 36         1029 1033 1036 1045 -3.600168
## 37         1026 1033 1040 1044 -3.551073
## 38         1027 1031 1038 1044 -3.539664
## 39         1029 1033 1040 1042 -3.533412
## 40         1027 1035 1038 1041 -3.502220
## 41         1030 1033 1039 1041 -3.479676
## 42         1027 1031 1038 1045 -3.456072
## 43         1029 1035 1036 1043 -3.452945
## 44         1028 1031 1040 1044 -3.447980
## 45         1028 1032 1040 1041 -3.429058
## 46         1028 1034 1040 1041 -3.411945
## 47         1029 1031 1040 1042 -3.403523
## 48         1030 1033 1037 1044 -3.385498
## 49         1026 1032 1040 1043 -3.358420
## 50         1026 1034 1040 1043 -3.345094
## 51         1030 1032 1038 1044 -3.325410
## 52         1030 1031 1037 1044 -3.313350
## 53         1030 1031 1039 1043 -3.283020
## 54         1030 1034 1036 1042 -3.209263
## 55         1030 1034 1037 1041 -3.195463
## 56         1030 1033 1037 1041 -3.186302
## 57         1030 1033 1039 1042 -3.160470
## 58         1030 1033 1036 1042 -3.159552
## 59         1030 1034 1037 1043 -3.155227
## 60         1029 1032 1038 1045 -3.154626
## 61         1029 1033 1037 1045 -3.153191
## 62         1028 1034 1040 1042 -3.143799
## 63         1028 1031 1040 1042 -3.140252
## 64         1026 1033 1040 1042 -3.138249
## 65         1028 1032 1036 1044 -3.137845
## 66         1028 1032 1036 1045 -3.104180
## 67         1026 1034 1040 1042 -3.104065
## 68         1030 1031 1037 1043 -3.085122
## 69         1028 1035 1036 1044 -3.082182
## 70         1028 1032 1039 1045 -3.079951
## 71         1029 1031 1037 1045 -3.079872
## 72         1028 1034 1036 1045 -3.071368
## 73         1030 1031 1038 1044 -3.071277
## 74         1030 1031 1039 1042 -3.066697
## 75         1030 1032 1038 1041 -3.054198
## 76         1026 1032 1039 1045 -3.042656
## 77         1030 1034 1038 1041 -3.017531
## 78         1029 1035 1036 1042 -3.005537
## 79         1029 1035 1037 1041 -2.997568
## 80         1026 1033 1039 1045 -2.978107
## 81         1029 1033 1036 1042 -2.977804
## 82         1029 1035 1037 1043 -2.972028
## 83         1029 1032 1038 1041 -2.943027
## 84         1029 1033 1037 1041 -2.938318
## 85         1028 1031 1039 1045 -2.903679
## 86         1029 1031 1038 1045 -2.859475
## 87         1028 1035 1039 1041 -2.856092
## 88         1028 1032 1039 1041 -2.854888
## 89         1028 1031 1037 1045 -2.854281
## 90         1029 1035 1038 1041 -2.838835
## 91         1029 1031 1037 1043 -2.828815
## 92         1028 1035 1037 1044 -2.819852
## 93         1026 1032 1039 1043 -2.806642
## 94         1026 1033 1037 1045 -2.804241
## 95         1028 1034 1037 1045 -2.795984
## 96         1026 1035 1039 1043 -2.785781
## 97         1026 1035 1037 1044 -2.780723
## 98         1026 1034 1037 1045 -2.754030
## 99         1028 1031 1037 1044 -2.727819
## 100        1030 1034 1038 1042 -2.713690
## 101        1026 1033 1037 1044 -2.711566
## 102        1028 1035 1037 1041 -2.699511
## 103        1030 1031 1038 1042 -2.677046
## 104        1028 1035 1039 1042 -2.634773
## 105        1028 1035 1036 1042 -2.620015
## 106        1026 1035 1039 1042 -2.598459
## 107        1028 1034 1037 1041 -2.577819
## 108        1026 1035 1037 1043 -2.575947
## 109        1028 1034 1036 1042 -2.568613
## 110        1026 1032 1038 1045 -2.565685
## 111        1026 1035 1038 1044 -2.556292
## 112        1026 1032 1038 1044 -2.551427
## 113        1028 1031 1039 1042 -2.549840
## 114        1026 1033 1039 1042 -2.545385
## 115        1026 1034 1038 1045 -2.536037
## 116        1029 1035 1038 1042 -2.516755
## 117        1026 1034 1037 1043 -2.480185
## 118        1029 1031 1038 1042 -2.399991
## 119        1026 1035 1038 1042 -2.226465
## 120        1026 1034 1038 1042 -2.125076

 
 
 

Reduced model (with connection)
Click for ΔAIC and p-value dsitributions
hist(iterated_results_table$ΔAIC_fix, main = "Distribution of ΔAIC of the fixed model.") 

hist(iterated_results_table$p_fix, main = "Distribution of p-values of the fixed model.") 
model_stats_fixed = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_fix),
  p_value = mean(iterated_results_table$p_fix),
  R2 = NA
)

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value    evidence
## 1     -4.6   0.012 ** moderate
results_table = fill.results.table(
    results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )
MM (meta-ecosystems vs isolated)
metaecosystem_type_i = c("Medium-Medium meta-ecosystem",
                         "Medium-Medium isolated")
filtered_data = ds_metaecosystems %>%
                         filter(time_point >= first_time_point_model,
                                time_point <= last_time_point_model,
                                metaecosystem_type %in% metaecosystem_type_i)
plot.metaecos.points(filtered_data,
                     metaecosystem_type_i,
                     response_variable)

The p-values and ΔAIC of the connection are computed for all possible combinations of the isolated patches, creating a p-value and ΔAIC distributions. We keep as p-value and ΔAIC of the comparison the mean of such distributions.

Click for bootstrapping ΔAIC and p-value

 

If you see “Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel = ## 1e-15, : unused control arguments ignored”, Ignore it. It just means that you didn’t pass the control argument to the Nelder_Mead optimiser, so it uses the default.

# Compute stats for all patch combinations 

isolated_combinations_sets_filtered =  isolated_combinations_sets %>%
  filter(disturbance == disturbance_global_input,
         metaecosystem_type %in% metaecosystem_type_i)

n_sets = isolated_combinations_sets_filtered %>%
  pull(set) %>%
  max()

iterated_results_table = data.frame(
  Response = as.character(NA),
  Levels = as.character(NA),
  ΔAIC_full = NA,
  p_full = NA,
  ΔR2_full = NA,
  ΔAIC_fix = NA,
  p_fix = NA,
  ΔR2_fix = NA,
  combination_set = NA,
  system_nr_isolated_systems = as.character(NA)
) %>%
  slice(-1)

for (set_input in 1:n_sets) {
  
  system_nr_isolated_systems_input = isolated_combinations_sets_filtered %>%
    filter(
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "isolated",
      set == set_input
    ) %>%
    pull(system_nr)
  
  filtered_data = ds_metaecosystems %>%
    filter(
      time_point >= first_time_point_model,
      time_point <= last_time_point_model,
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "connected" |
        (connection == "isolated" &
           system_nr %in% system_nr_isolated_systems_input)
    )
  
  null_model = lmer(
    get(response_variable) ~
      day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  full_model = lmer(
    get(response_variable) ~
      day +
      connection +
      connection:day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_full = compute.model.stats(full_model,
                                         null_model,
                                         "mixed_model")
  
  reduced_model = lmer(
    get(response_variable) ~
      day +
      connection +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_fixed = compute.model.stats(reduced_model,
                                          null_model,
                                          "mixed_model")
  
  iterated_results_table = fill.results.table(
    iterated_results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )
  
  iterated_results_table$set[nrow(iterated_results_table)] = set_input
  iterated_results_table$system_nr_isolated_systems[nrow(iterated_results_table)] = paste(system_nr_isolated_systems_input, collapse = " ")
}
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, :
## Model failed to converge with max|grad| = 0.00222507 (tol = 0.002, component 1)
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, :
## Model failed to converge with max|grad| = 0.00222133 (tol = 0.002, component 1)
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, :
## Model failed to converge with max|grad| = 0.00222507 (tol = 0.002, component 1)
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, :
## Model failed to converge with max|grad| = 0.00222133 (tol = 0.002, component 1)
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored

 
 
 

Full model (with connection and connection : day)
Click for ΔAIC and p-value distributions
hist(iterated_results_table$ΔAIC_full, main = "Distribution of ΔAIC of the full model.") 

hist(iterated_results_table$p_full, main = "Distribution of p-values of the full model.") 
model_stats_full = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_full),
  p_value = mean(iterated_results_table$p_full),
  R2 = NA
)

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1      2.1   0.469     none
Click for which system nr produced which AIC in the full model
iterated_results_table %>% 
  select(system_nr_isolated_systems,
         ΔAIC_full) %>%
  arrange(ΔAIC_full)
##    system_nr_isolated_systems  ΔAIC_full
## 1                   1059 1061 -2.1634950
## 2                   1061 1059 -2.1634950
## 3                   1061 1064  0.3104198
## 4                   1064 1061  0.3104198
## 5                   1058 1062  0.6299275
## 6                   1062 1058  0.6299275
## 7                   1058 1064  1.4703315
## 8                   1064 1058  1.4703315
## 9                   1059 1060  1.8363618
## 10                  1060 1059  1.8363618
## 11                  1056 1065  2.3113527
## 12                  1065 1056  2.3113527
## 13                  1056 1064  2.4258678
## 14                  1064 1056  2.4258678
## 15                  1057 1062  2.8145259
## 16                  1062 1057  2.8145259
## 17                  1059 1063  2.9451644
## 18                  1063 1059  2.9451644
## 19                  1058 1060  2.9492200
## 20                  1060 1058  2.9492200
## 21                  1057 1061  2.9921157
## 22                  1061 1057  2.9921157
## 23                  1062 1063  3.0082645
## 24                  1063 1062  3.0082645
## 25                  1060 1065  3.1739693
## 26                  1065 1060  3.1739693
## 27                  1056 1063  3.3683048
## 28                  1063 1056  3.3683048
## 29                  1057 1065  3.5740379
## 30                  1065 1057  3.5740379

 
 
 

Reduced model (with connection)
Click for ΔAIC and p-value dsitributions
hist(iterated_results_table$ΔAIC_fix, main = "Distribution of ΔAIC of the fixed model.") 

hist(iterated_results_table$p_fix, main = "Distribution of p-values of the fixed model.") 
model_stats_fixed = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_fix),
  p_value = mean(iterated_results_table$p_fix),
  R2 = NA
)

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1      0.7   0.333     none
results_table = fill.results.table(
    results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )

Gamma (regional richness)

response_variable = "metaecosystem_richness"
metaecosystem_type_i = c("Medium-Medium meta-ecosystem",
                         "Medium-Medium isolated",
                         "Small-Large meta-ecosystem",
                         "Small-Large isolated")
plot.metaecos.points(ds_metaecosystems,
                     metaecosystem_type_i,
                     response_variable,
                     3)

Boxplots
plot.metaecos.boxplots(ds_metaecosystems,
                       metaecosystem_type_i,
                       response_variable)
Replicates
plot.metaecos.replicates(ds_metaecosystems,
                         metaecosystem_type_i,
                         response_variable)
MM vs SL meta-ecosystems
metaecosystem_type_i = c("Medium-Medium meta-ecosystem",
                         "Small-Large meta-ecosystem")
filtered_data = ds_metaecosystems %>%
                         filter(time_point >= first_time_point_model,
                                time_point <= last_time_point_model,
                                metaecosystem_type %in% metaecosystem_type_i)
plot.metaecos.points(filtered_data,
                     metaecosystem_type_i,
                     response_variable)

Null model
null_model = lmer(
  get(response_variable) ~
    day + 
    (day | system_nr), 
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_symmetry and patch_size_symmetry : day)
full_model = lmer(
  get(response_variable) ~
    day + 
    patch_size_symmetry +
    patch_size_symmetry : day + 
    (day | system_nr), 
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## get(response_variable) ~ day + patch_size_symmetry + patch_size_symmetry:day +  
##     (day | system_nr)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    189.4    206.1    -86.7    173.4       52 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -1.92  -0.75   0.05   0.77   2.33 
## 
## Random effects:
##  Groups    Name        Variance Std.Dev. Corr 
##  system_nr (Intercept) 0.236    0.49          
##            day         0.002    0.04     -1.00
##  Residual              0.947    0.97          
## Number of obs: 60, groups:  system_nr, 10
## 
## Fixed effects:
##                                  Estimate Std. Error t value
## (Intercept)                         8.276      0.546    15.2
## day                                -0.086      0.032    -2.7
## patch_size_symmetrysymmetric        0.838      0.772     1.1
## day:patch_size_symmetrysymmetric    0.007      0.045     0.2
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.931              
## ptch_sz_sym -0.707  0.658       
## dy:ptch_sz_  0.658 -0.707 -0.931
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" System nr: ", filtered_data$system_nr, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Meta-ecosystem: ", filtered_data$metaecosystem_type, "<br>",
                         "Tot Biomass: ", round(filtered_data$total_metaecosystem_bioarea_mm2, digits = 0), "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model")

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value    evidence
## 1     -4.5   0.014 ** moderate

 
 
 

Reduced model (with patch_size_symmetry)
reduced_model = lmer(
  get(response_variable) ~
    day + 
    patch_size_symmetry + 
    (day | system_nr), 
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_symmetry + (day | system_nr)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    187.4    202.1    -86.7    173.4       53 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -1.91  -0.75   0.06   0.79   2.36 
## 
## Random effects:
##  Groups    Name        Variance Std.Dev. Corr 
##  system_nr (Intercept) 0.238    0.49          
##            day         0.002    0.04     -1.00
##  Residual              0.947    0.97          
## Number of obs: 60, groups:  system_nr, 10
## 
## Fixed effects:
##                              Estimate Std. Error t value
## (Intercept)                      8.22       0.41      20
## day                             -0.08       0.02      -4
## patch_size_symmetrysymmetric     0.95       0.28       3
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.874       
## ptch_sz_sym -0.343  0.000
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" System nr: ", filtered_data$system_nr, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Meta-ecosystem: ", filtered_data$metaecosystem_type, "<br>",
                         "Tot Biomass: ", round(filtered_data$total_metaecosystem_bioarea_mm2, digits = 0), "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model")

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value   evidence
## 1     -6.5   0.004 *** strong
results_table = fill.results.table(
  results_table,
  response_variable,
  metaecosystem_type_i,
  model_stats_full,
  model_stats_fixed
)
SL (meta-ecosystems vs isolated)
metaecosystem_type_i = c("Small-Large meta-ecosystem",
                         "Small-Large isolated")
filtered_data = ds_metaecosystems %>%
                         filter(time_point >= first_time_point_model,
                                time_point <= last_time_point_model,
                                metaecosystem_type %in% metaecosystem_type_i)
plot.metaecos.points(filtered_data,
                     metaecosystem_type_i,
                     response_variable)

The p-values and ΔAIC of the connection are computed for all possible combinations of the isolated patches, creating a p-value and ΔAIC distributions. We keep as p-value and ΔAIC of the comparison the mean of such distributions.

Click for bootstrapping ΔAIC and p-value

 

If you see “Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel = ## 1e-15, : unused control arguments ignored”, Ignore it. It just means that you didn’t pass the control argument to the Nelder_Mead optimiser, so it uses the default.

# Compute stats for all patch combinations 

isolated_combinations_sets_filtered =  isolated_combinations_sets %>%
  filter(disturbance == disturbance_global_input,
         metaecosystem_type %in% metaecosystem_type_i)

n_sets = isolated_combinations_sets_filtered %>%
  pull(set) %>%
  max()

iterated_results_table = data.frame(
  Response = as.character(NA),
  Levels = as.character(NA),
  ΔAIC_full = NA,
  p_full = NA,
  ΔR2_full = NA,
  ΔAIC_fix = NA,
  p_fix = NA,
  ΔR2_fix = NA,
  combination_set = NA,
  system_nr_isolated_systems = as.character(NA)
) %>%
  slice(-1)

for (set_input in 1:n_sets) {
  
  system_nr_isolated_systems_input = isolated_combinations_sets_filtered %>%
    filter(
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "isolated",
      set == set_input
    ) %>%
    pull(system_nr)
  
  filtered_data = ds_metaecosystems %>%
    filter(
      time_point >= first_time_point_model,
      time_point <= last_time_point_model,
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "connected" |
        (connection == "isolated" &
           system_nr %in% system_nr_isolated_systems_input)
    )
  
  null_model = lmer(
    get(response_variable) ~
      day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  full_model = lmer(
    get(response_variable) ~
      day +
      connection +
      connection:day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_full = compute.model.stats(full_model,
                                         null_model,
                                         "mixed_model")
  
  reduced_model = lmer(
    get(response_variable) ~
      day +
      connection +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_fixed = compute.model.stats(reduced_model,
                                          null_model,
                                          "mixed_model")
  
  iterated_results_table = fill.results.table(
    iterated_results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )
  
  iterated_results_table$set[nrow(iterated_results_table)] = set_input
  iterated_results_table$system_nr_isolated_systems[nrow(iterated_results_table)] = paste(system_nr_isolated_systems_input, collapse = " ")
}
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored

 
 
 

Full model (with connection and connection : day)
Click for ΔAIC and p-value distributions
hist(iterated_results_table$ΔAIC_full, main = "Distribution of ΔAIC of the full model.") 

hist(iterated_results_table$p_full, main = "Distribution of p-values of the full model.") 
model_stats_full = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_full),
  p_value = mean(iterated_results_table$p_full),
  R2 = NA
)

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1      2.2   0.449     none
Click for which system nr produced which AIC in the full model
iterated_results_table %>% 
  select(system_nr_isolated_systems,
         ΔAIC_full) %>%
  arrange(ΔAIC_full)
##     system_nr_isolated_systems ΔAIC_full
## 1          1027 1031 1040 1043 0.1184054
## 2          1026 1032 1040 1043 0.4857987
## 3          1030 1032 1036 1043 0.5916539
## 4          1027 1035 1036 1043 0.5916539
## 5          1027 1033 1036 1045 0.6185128
## 6          1027 1033 1040 1041 0.6262096
## 7          1026 1035 1037 1043 0.8013854
## 8          1027 1031 1038 1045 0.8028149
## 9          1030 1031 1037 1043 0.8234183
## 10         1028 1032 1036 1045 0.8765712
## 11         1028 1032 1040 1041 0.9116171
## 12         1026 1033 1037 1045 0.9247340
## 13         1028 1031 1037 1045 0.9435650
## 14         1026 1032 1038 1045 0.9707246
## 15         1028 1031 1040 1042 1.0032662
## 16         1026 1033 1040 1042 1.0124658
## 17         1026 1035 1038 1042 1.0483023
## 18         1028 1035 1037 1041 1.0531285
## 19         1027 1035 1038 1041 1.1313847
## 20         1030 1032 1038 1041 1.1313847
## 21         1030 1031 1038 1042 1.1415923
## 22         1030 1033 1037 1041 1.1415923
## 23         1028 1035 1036 1042 1.1817598
## 24         1030 1033 1036 1042 1.2068920
## 25         1029 1031 1040 1043 1.4738514
## 26         1026 1033 1040 1044 1.6449245
## 27         1028 1031 1040 1044 1.6888776
## 28         1029 1033 1036 1045 1.6953488
## 29         1029 1035 1036 1043 1.6965544
## 30         1026 1035 1038 1044 1.7039081
## 31         1029 1033 1040 1041 1.7112135
## 32         1029 1031 1038 1045 1.7171764
## 33         1030 1033 1036 1044 1.7401448
## 34         1030 1031 1038 1044 1.7500094
## 35         1027 1033 1036 1044 1.7719847
## 36         1029 1032 1036 1043 1.8089431
## 37         1029 1035 1038 1041 1.8187599
## 38         1028 1035 1036 1044 1.8392635
## 39         1027 1031 1039 1043 1.8578998
## 40         1026 1034 1038 1045 1.9171187
## 41         1030 1031 1039 1043 1.9248196
## 42         1026 1034 1040 1043 1.9751176
## 43         1026 1035 1039 1043 2.0164777
## 44         1027 1031 1038 1044 2.0304657
## 45         1026 1033 1039 1045 2.0546512
## 46         1028 1032 1036 1044 2.0694046
## 47         1030 1034 1038 1041 2.0694600
## 48         1030 1034 1036 1043 2.0904245
## 49         1028 1031 1039 1045 2.0907961
## 50         1028 1034 1036 1045 2.1082731
## 51         1030 1033 1039 1041 2.1379006
## 52         1028 1034 1040 1041 2.1437119
## 53         1029 1031 1037 1043 2.1498037
## 54         1027 1033 1040 1044 2.1523181
## 55         1026 1032 1039 1043 2.1720464
## 56         1029 1032 1040 1043 2.1774126
## 57         1027 1033 1039 1041 2.1984253
## 58         1026 1033 1037 1044 2.2119163
## 59         1026 1032 1038 1044 2.2222913
## 60         1028 1035 1039 1041 2.2389915
## 61         1029 1033 1036 1042 2.2627048
## 62         1027 1034 1036 1043 2.2640377
## 63         1029 1032 1038 1041 2.2653341
## 64         1028 1031 1037 1044 2.2727205
## 65         1029 1031 1038 1042 2.2920731
## 66         1029 1033 1037 1041 2.2920731
## 67         1026 1034 1037 1043 2.4002606
## 68         1026 1034 1038 1042 2.4401378
## 69         1028 1032 1039 1041 2.4419863
## 70         1028 1032 1040 1044 2.4485679
## 71         1028 1034 1037 1041 2.5024721
## 72         1027 1033 1039 1045 2.5293857
## 73         1026 1033 1039 1042 2.5511370
## 74         1027 1035 1039 1043 2.5643376
## 75         1030 1032 1039 1043 2.5643376
## 76         1028 1031 1039 1042 2.5780819
## 77         1027 1034 1038 1041 2.5811953
## 78         1027 1034 1040 1043 2.5913595
## 79         1028 1034 1036 1042 2.6035722
## 80         1029 1032 1038 1045 2.6456581
## 81         1029 1033 1040 1042 2.6577686
## 82         1029 1035 1037 1043 2.6591291
## 83         1030 1032 1038 1044 2.6712469
## 84         1027 1035 1038 1044 2.6712469
## 85         1029 1033 1037 1045 2.6896263
## 86         1030 1033 1037 1044 2.7148934
## 87         1028 1035 1037 1044 2.7328657
## 88         1029 1035 1038 1042 2.7658189
## 89         1028 1032 1039 1045 2.7744574
## 90         1028 1034 1037 1045 2.8568194
## 91         1030 1034 1037 1043 2.8772512
## 92         1030 1034 1038 1042 2.9228228
## 93         1027 1034 1038 1045 2.9266862
## 94         1030 1033 1039 1042 2.9600778
## 95         1028 1034 1040 1042 2.9759999
## 96         1028 1035 1039 1042 3.0345699
## 97         1027 1031 1040 1044 3.0487703
## 98         1026 1034 1037 1045 3.2227518
## 99         1026 1035 1037 1044 3.2254653
## 100        1026 1032 1040 1044 3.2793631
## 101        1029 1032 1040 1041 3.3026595
## 102        1029 1032 1036 1045 3.3026595
## 103        1027 1031 1039 1045 3.3100834
## 104        1027 1035 1036 1044 3.3277203
## 105        1030 1032 1036 1044 3.3277203
## 106        1029 1035 1037 1041 3.3536689
## 107        1029 1031 1037 1045 3.3754843
## 108        1030 1034 1037 1041 3.3859468
## 109        1030 1031 1037 1044 3.3985584
## 110        1029 1031 1040 1042 3.4247298
## 111        1026 1032 1039 1045 3.4830031
## 112        1026 1034 1040 1042 3.4877050
## 113        1029 1035 1036 1042 3.5066722
## 114        1026 1035 1039 1042 3.5081735
## 115        1027 1034 1036 1045 3.5265898
## 116        1030 1032 1039 1041 3.5265898
## 117        1027 1035 1039 1041 3.5265898
## 118        1027 1034 1040 1041 3.5265898
## 119        1030 1031 1039 1042 3.5793863
## 120        1030 1034 1036 1042 3.5994587

 
 
 

Reduced model (with connection)
Click for ΔAIC and p-value dsitributions
hist(iterated_results_table$ΔAIC_fix, main = "Distribution of ΔAIC of the fixed model.") 

hist(iterated_results_table$p_fix, main = "Distribution of p-values of the fixed model.") 
model_stats_fixed = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_fix),
  p_value = mean(iterated_results_table$p_fix),
  R2 = NA
)

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1      0.7   0.318     none
results_table = fill.results.table(
    results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )
MM (meta-ecosystems vs isolated)
metaecosystem_type_i = c("Medium-Medium meta-ecosystem",
                         "Medium-Medium isolated")
filtered_data = ds_metaecosystems %>%
                         filter(time_point >= first_time_point_model,
                                time_point <= last_time_point_model,
                                metaecosystem_type %in% metaecosystem_type_i)
plot.metaecos.points(filtered_data,
                     metaecosystem_type_i,
                     response_variable)

The p-values and ΔAIC of the connection are computed for all possible combinations of the isolated patches, creating a p-value and ΔAIC distributions. We keep as p-value and ΔAIC of the comparison the mean of such distributions.

Click for bootstrapping ΔAIC and p-value

 

If you see “Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel = ## 1e-15, : unused control arguments ignored”, Ignore it. It just means that you didn’t pass the control argument to the Nelder_Mead optimiser, so it uses the default.

# Compute stats for all patch combinations 

isolated_combinations_sets_filtered =  isolated_combinations_sets %>%
  filter(disturbance == disturbance_global_input,
         metaecosystem_type %in% metaecosystem_type_i)

n_sets = isolated_combinations_sets_filtered %>%
  pull(set) %>%
  max()

iterated_results_table = data.frame(
  Response = as.character(NA),
  Levels = as.character(NA),
  ΔAIC_full = NA,
  p_full = NA,
  ΔR2_full = NA,
  ΔAIC_fix = NA,
  p_fix = NA,
  ΔR2_fix = NA,
  combination_set = NA,
  system_nr_isolated_systems = as.character(NA)
) %>%
  slice(-1)

for (set_input in 1:n_sets) {
  
  system_nr_isolated_systems_input = isolated_combinations_sets_filtered %>%
    filter(
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "isolated",
      set == set_input
    ) %>%
    pull(system_nr)
  
  filtered_data = ds_metaecosystems %>%
    filter(
      time_point >= first_time_point_model,
      time_point <= last_time_point_model,
      metaecosystem_type %in% metaecosystem_type_i,
      connection == "connected" |
        (connection == "isolated" &
           system_nr %in% system_nr_isolated_systems_input)
    )
  
  null_model = lmer(
    get(response_variable) ~
      day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  full_model = lmer(
    get(response_variable) ~
      day +
      connection +
      connection:day +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_full = compute.model.stats(full_model,
                                         null_model,
                                         "mixed_model")
  
  reduced_model = lmer(
    get(response_variable) ~
      day +
      connection +
      (day | system_nr),
    data = filtered_data,
    REML = FALSE,
    control = lmerControl(optimizer = optimizer_input,
                          optCtrl = list(method = method_input))
  )
  
  model_stats_fixed = compute.model.stats(reduced_model,
                                          null_model,
                                          "mixed_model")
  
  iterated_results_table = fill.results.table(
    iterated_results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )
  
  iterated_results_table$set[nrow(iterated_results_table)] = set_input
  iterated_results_table$system_nr_isolated_systems[nrow(iterated_results_table)] = paste(system_nr_isolated_systems_input, collapse = " ")
}
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored
## Warning in (function (iprint = 0L, maxfun = 10000L, FtolAbs = 1e-05, FtolRel =
## 1e-15, : unused control arguments ignored

 
 
 

Full model (with connection and connection : day)
Click for ΔAIC and p-value distributions
hist(iterated_results_table$ΔAIC_full, main = "Distribution of ΔAIC of the full model.") 

hist(iterated_results_table$p_full, main = "Distribution of p-values of the full model.") 
model_stats_full = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_full),
  p_value = mean(iterated_results_table$p_full),
  R2 = NA
)

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1      2.8   0.576     none
Click for which system nr produced which AIC in the full model
iterated_results_table %>% 
  select(system_nr_isolated_systems,
         ΔAIC_full) %>%
  arrange(ΔAIC_full)
##    system_nr_isolated_systems ΔAIC_full
## 1                   1057 1062  1.295857
## 2                   1062 1057  1.295857
## 3                   1059 1060  1.891039
## 4                   1060 1059  1.891039
## 5                   1058 1062  2.005519
## 6                   1062 1058  2.005519
## 7                   1056 1064  2.007075
## 8                   1064 1056  2.007075
## 9                   1062 1063  2.635024
## 10                  1063 1062  2.635024
## 11                  1058 1064  2.758295
## 12                  1064 1058  2.758295
## 13                  1060 1065  2.918645
## 14                  1065 1060  2.918645
## 15                  1059 1061  3.032444
## 16                  1059 1063  3.032444
## 17                  1061 1059  3.032444
## 18                  1063 1059  3.032444
## 19                  1057 1065  3.102242
## 20                  1065 1057  3.102242
## 21                  1058 1060  3.125725
## 22                  1060 1058  3.125725
## 23                  1056 1065  3.199072
## 24                  1065 1056  3.199072
## 25                  1061 1064  3.286048
## 26                  1064 1061  3.286048
## 27                  1057 1061  3.772903
## 28                  1061 1057  3.772903
## 29                  1056 1063  3.782587
## 30                  1063 1056  3.782587

 
 
 

Reduced model (with connection)
Click for ΔAIC and p-value dsitributions
hist(iterated_results_table$ΔAIC_fix, main = "Distribution of ΔAIC of the fixed model.") 

hist(iterated_results_table$p_fix, main = "Distribution of p-values of the fixed model.") 
model_stats_fixed = data.frame(
  deltaAIC = mean(iterated_results_table$ΔAIC_fix),
  p_value = mean(iterated_results_table$p_fix),
  R2 = NA
)

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1      1.5    0.62     none
results_table = fill.results.table(
    results_table,
    response_variable,
    metaecosystem_type_i,
    model_stats_full,
    model_stats_fixed
  )

All patches

patch_type_i = c("Small isolated",
                     "Medium isolated",
                     "Large isolated",
                     "Small connected to small",
                     "Small connected to large",
                     "Medium connected to medium",
                     "Large connected to small",
                     "Large connected to large")

BEF

Richness

ds_patches %>%
  filter(species_richness > 0,
         patch_type == patch_type_i) %>%
  ggplot(aes(x = species_richness,
             y = bioarea_mm2_per_ml)) +
  geom_point() +
  xlim(0, length(protist_species))

for (patch_type in patch_type_i) {
  plot.relationship.BEF(patch_type,
                        "species_richness") %>%
    print()
}

Shannon

ds_patches %>%
  filter(species_richness > 0,
         patch_type == patch_type_i) %>%
  ggplot(aes(x = shannon,
             y = bioarea_mm2_per_ml)) +
  geom_point()

for (patch_type in patch_type_i) {
  plot.relationship.BEF(patch_type,
                        "shannon") %>%
    print()
}

Evenness

ds_patches %>%
  filter(species_richness > 0,
         patch_type == patch_type_i) %>%
  ggplot(aes(x = evenness_pielou,
             y = bioarea_mm2_per_ml)) +
  geom_point() +
  xlim(0, 1)
## Warning: Removed 5 rows containing missing values (`geom_point()`).

for (patch_type in patch_type_i) {
  plot.relationship.BEF(patch_type,
                        "evenness_pielou") %>%
    print()
}

Pop dominance

for(species_input in protist_species_dominance){
  
  print(ds_patches %>%
  ggplot(aes(x = get(paste0(species_input)),
             y = bioarea_mm2_per_ml)) +
  geom_point() +
    labs(x = paste0(species_input, "_dominance")))
  
}
## Warning: Removed 12 rows containing missing values (`geom_point()`).

## Warning: Removed 12 rows containing missing values (`geom_point()`).

## Warning: Removed 12 rows containing missing values (`geom_point()`).

## Warning: Removed 12 rows containing missing values (`geom_point()`).

## Warning: Removed 12 rows containing missing values (`geom_point()`).

## Warning: Removed 12 rows containing missing values (`geom_point()`).

## Warning: Removed 12 rows containing missing values (`geom_point()`).

## Warning: Removed 12 rows containing missing values (`geom_point()`).

## Warning: Removed 12 rows containing missing values (`geom_point()`).

## Warning: Removed 12 rows containing missing values (`geom_point()`).

## Warning: Removed 12 rows containing missing values (`geom_point()`).

for (patch_type in patch_type_i) {
  plot.relationship.dominance.productivity(patch_type,
                                         protist_species,
                                         protist_species_dominance) %>%
    print()
}

Isolated patches

patch_type_i = c("Small isolated",
                     "Medium isolated",
                     "Large isolated")

Biomass

response_variable = "bioarea_mm2_per_ml"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    199.3    218.7    -91.6    183.3       76 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -2.47  -0.69  -0.09   0.57   2.46 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 5e-02    0.23          
##             day         1e-04    0.01     -1.00
##  Residual               5e-01    0.72          
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          0.946      0.505       2
## day                 -0.062      0.026      -2
## patch_size_ml        0.137      0.019       7
## day:patch_size_ml   -0.003      0.001      -3
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.940              
## patch_sz_ml -0.891  0.838       
## dy:ptch_sz_  0.838 -0.891 -0.940
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -36.8 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    203.5    220.5    -94.8    189.5       77 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.1   -0.7   -0.1    0.7    2.4 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 0.431    0.66          
##             day         0.001    0.04     -1.00
##  Residual               0.513    0.72          
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      2.142      0.321       7
## day             -0.127      0.015      -9
## patch_size_ml    0.086      0.007      13
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.843       
## patch_sz_ml -0.480  0.000
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -32.5 < 0.001 **** very strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Shannon

response_variable = "shannon"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)
## Warning in qt(conf.interval/2 + 0.5, datac$N - 1): NaNs produced

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
## Warning: Removed 6 rows containing non-finite values (`stat_boxplot()`).
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)
## Warning in qt(conf.interval/2 + 0.5, datac$N - 1): NaNs produced

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##     79.4     98.2    -31.7     63.4       70 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.1   -0.7    0.0    0.7    2.4 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr
##  culture_ID (Intercept) 0e+00    0.000        
##             day         9e-05    0.009     NaN
##  Residual               1e-01    0.334        
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          1e+00      2e-01     5.8
## day                 -7e-02      2e-02    -4.4
## patch_size_ml       -1e-03      9e-03    -0.1
## day:patch_size_ml    2e-03      5e-04     3.7
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.866              
## patch_sz_ml -0.904  0.778       
## dy:ptch_sz_  0.792 -0.912 -0.860
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -18.5 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##     84.8    101.3    -35.4     70.8       71 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.2   -0.6   -0.1    0.7    2.5 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 1e-01    0.34          
##             day         8e-04    0.03     -1.00
##  Residual               1e-01    0.34          
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      0.751      0.167       4
## day             -0.017      0.010      -2
## patch_size_ml    0.027      0.004       7
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.786       
## patch_sz_ml -0.542 -0.016
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -13.1 < 0.001 **** very strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Richness

response_variable = "species_richness"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    315.9    335.4   -150.0    299.9       76 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -2.06  -0.72  -0.04   0.68   2.29 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr
##  culture_ID (Intercept) 2e-01    0.403        
##             day         3e-06    0.002    1.00
##  Residual               2e+00    1.388        
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          6.170      0.972     6.4
## day                 -0.282      0.049    -5.8
## patch_size_ml        0.034      0.037     0.9
## day:patch_size_ml    0.007      0.002     3.9
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.901              
## patch_sz_ml -0.891  0.804       
## dy:ptch_sz_  0.804 -0.891 -0.901
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -27.9 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    326.4    343.4   -156.2    312.4       77 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -1.9   -0.7   -0.1    0.7    2.2 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 1.384    1.18          
##             day         0.004    0.06     -0.94
##  Residual               2.110    1.45          
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)       3.17       0.66       5
## day              -0.11       0.03      -4
## patch_size_ml     0.16       0.02      10
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.773       
## patch_sz_ml -0.566  0.000
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -17.4 < 0.001 **** very strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Evenness

response_variable = "evenness_pielou"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)
## Warning in qt(conf.interval/2 + 0.5, datac$N - 1): NaNs produced

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
## Warning: Removed 10 rows containing non-finite values (`stat_boxplot()`).
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)
## Warning in qt(conf.interval/2 + 0.5, datac$N - 1): NaNs produced

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    -38.1    -19.7     27.1    -54.1       66 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -3.6   -0.5    0.1    0.5    2.9 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 5e-02    0.22          
##             day         3e-04    0.02     -1.00
##  Residual               2e-02    0.14          
## Number of obs: 74, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          1e+00      2e-01       7
## day                 -4e-02      1e-02      -4
## patch_size_ml       -1e-02      6e-03      -2
## day:patch_size_ml    1e-03      4e-04       3
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.963              
## patch_sz_ml -0.897  0.864       
## dy:ptch_sz_  0.863 -0.896 -0.965
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -11.6 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    -31.7    -15.6     22.9    -45.7       67 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -3.6   -0.6    0.2    0.5    2.9 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 1e-01    0.33          
##             day         6e-04    0.02     -1.00
##  Residual               2e-02    0.14          
## Number of obs: 74, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      0.668      0.107       6
## day             -0.008      0.007      -1
## patch_size_ml    0.006      0.002       4
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.905       
## patch_sz_ml -0.381 -0.006
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value   evidence
## 1     -5.2   0.007 *** strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Median Size

response_variable = "median_body_area_µm2"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)
## Warning in qt(conf.interval/2 + 0.5, datac$N - 1): NaNs produced

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
## Warning: Removed 6 rows containing non-finite values (`stat_boxplot()`).
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)
## Warning in qt(conf.interval/2 + 0.5, datac$N - 1): NaNs produced

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##   1286.8   1305.6   -635.4   1270.8       70 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.9   -0.5    0.0    0.5    3.0 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 2e+05    402           
##             day         4e+00      2      -1.00
##  Residual               6e+05    776           
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)           1985        620       3
## day                     80         32       2
## patch_size_ml           41         23       2
## day:patch_size_ml       -2          1      -2
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.872              
## patch_sz_ml -0.902  0.781       
## dy:ptch_sz_  0.803 -0.914 -0.870
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1        0   0.133     none

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##   1288.8   1305.3   -637.4   1274.8       71 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -3.02  -0.31   0.07   0.49   2.91 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 2e+05    467           
##             day         2e+02     14      -0.59
##  Residual               6e+05    790           
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      3e+03      4e+02     7.8
## day              2e+01      1e+01     1.5
## patch_size_ml    9e-01      1e+01     0.1
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.586       
## patch_sz_ml -0.684 -0.072
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1        2   0.948     none
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Populations

for(patch_type_i in patch_type_i){
  
  print(patch_type_i)

  p = ds_patches %>%
  filter(patch_type == patch_type_i) %>%
  group_by(day) %>%
  summarise(
    Ble = mean(Ble_indiv_per_ml_dominance, na.rm = TRUE),
    # Ble_se = sd(Ble_indiv_per_ml_dominance, na.rm = TRUE) / sqrt(n()),
    # Ble_ci = qt(c(0.025, 0.975), df = n() - 1) * Ble_se,
    Cep = mean(Cep_indiv_per_ml_dominance, na.rm = TRUE),
    Col = mean(Col_indiv_per_ml_dominance, na.rm = TRUE),
    Eup = mean(Eup_indiv_per_ml_dominance, na.rm = TRUE),
    Lox = mean(Lox_indiv_per_ml_dominance, na.rm = TRUE),
    Pau = mean(Pau_indiv_per_ml_dominance, na.rm = TRUE),
    Pca = mean(Pca_indiv_per_ml_dominance, na.rm = TRUE),
    Spi = mean(Spi_indiv_per_ml_dominance, na.rm = TRUE),
    Spi_te = mean(Spi_te_indiv_per_ml_dominance, na.rm = TRUE),
    Tet = mean(Tet_indiv_per_ml_dominance, na.rm = TRUE)
  ) %>%
  pivot_longer(Ble:Tet, names_to = "species", values_to = "species_indiv_per_ml") %>%
  ggplot(aes(
    x = day,
    y = species_indiv_per_ml,
    group = interaction(day, species),
    color = species
  )) +
  geom_point(position = position_dodge(dodging),
             size = treatment_points_size) +
  geom_line(
    aes(group = species),
    position = position_dodge(dodging),
    linewidth = treatment_lines_linewidth) + 
  labs(x = axis_names %>% 
         filter(variable == "day") %>% 
         pull(axis_name),
       y = axis_names %>% 
         filter(variable == "dominance") %>% 
         pull(axis_name)) +
  coord_cartesian(ylim = c(0, 100))
  
  print(p)

}
## [1] "Small isolated"

## [1] "Medium isolated"

## [1] "Large isolated"

Small patches

patch_type_i = c("Small isolated",
                     "Small connected to small",
                     "Small connected to large")

Biomass

response_variable = "bioarea_mm2_per_ml"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    199.3    218.7    -91.6    183.3       76 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -2.47  -0.69  -0.09   0.57   2.46 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 5e-02    0.23          
##             day         1e-04    0.01     -1.00
##  Residual               5e-01    0.72          
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          0.946      0.505       2
## day                 -0.062      0.026      -2
## patch_size_ml        0.137      0.019       7
## day:patch_size_ml   -0.003      0.001      -3
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.940              
## patch_sz_ml -0.891  0.838       
## dy:ptch_sz_  0.838 -0.891 -0.940
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -36.8 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    203.5    220.5    -94.8    189.5       77 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.1   -0.7   -0.1    0.7    2.4 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 0.431    0.66          
##             day         0.001    0.04     -1.00
##  Residual               0.513    0.72          
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      2.142      0.321       7
## day             -0.127      0.015      -9
## patch_size_ml    0.086      0.007      13
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.843       
## patch_sz_ml -0.480  0.000
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -32.5 < 0.001 **** very strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Shannon

response_variable = "shannon"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)
## Warning in qt(conf.interval/2 + 0.5, datac$N - 1): NaNs produced

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
## Warning: Removed 12 rows containing non-finite values (`stat_boxplot()`).
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)
## Warning in qt(conf.interval/2 + 0.5, datac$N - 1): NaNs produced

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##     79.4     98.2    -31.7     63.4       70 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.1   -0.7    0.0    0.7    2.4 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr
##  culture_ID (Intercept) 0e+00    0.000        
##             day         9e-05    0.009     NaN
##  Residual               1e-01    0.334        
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          1e+00      2e-01     5.8
## day                 -7e-02      2e-02    -4.4
## patch_size_ml       -1e-03      9e-03    -0.1
## day:patch_size_ml    2e-03      5e-04     3.7
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.866              
## patch_sz_ml -0.904  0.778       
## dy:ptch_sz_  0.792 -0.912 -0.860
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -18.5 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##     84.8    101.3    -35.4     70.8       71 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.2   -0.6   -0.1    0.7    2.5 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 1e-01    0.34          
##             day         8e-04    0.03     -1.00
##  Residual               1e-01    0.34          
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      0.751      0.167       4
## day             -0.017      0.010      -2
## patch_size_ml    0.027      0.004       7
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.786       
## patch_sz_ml -0.542 -0.016
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -13.1 < 0.001 **** very strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Richness

response_variable = "species_richness"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    315.9    335.4   -150.0    299.9       76 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -2.06  -0.72  -0.04   0.68   2.29 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr
##  culture_ID (Intercept) 2e-01    0.403        
##             day         3e-06    0.002    1.00
##  Residual               2e+00    1.388        
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          6.170      0.972     6.4
## day                 -0.282      0.049    -5.8
## patch_size_ml        0.034      0.037     0.9
## day:patch_size_ml    0.007      0.002     3.9
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.901              
## patch_sz_ml -0.891  0.804       
## dy:ptch_sz_  0.804 -0.891 -0.901
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -27.9 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    326.4    343.4   -156.2    312.4       77 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -1.9   -0.7   -0.1    0.7    2.2 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 1.384    1.18          
##             day         0.004    0.06     -0.94
##  Residual               2.110    1.45          
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)       3.17       0.66       5
## day              -0.11       0.03      -4
## patch_size_ml     0.16       0.02      10
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.773       
## patch_sz_ml -0.566  0.000
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -17.4 < 0.001 **** very strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Evenness

response_variable = "evenness_pielou"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)
## Warning in qt(conf.interval/2 + 0.5, datac$N - 1): NaNs produced

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
## Warning: Removed 33 rows containing non-finite values (`stat_boxplot()`).
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)
## Warning in qt(conf.interval/2 + 0.5, datac$N - 1): NaNs produced

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    -38.1    -19.7     27.1    -54.1       66 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -3.6   -0.5    0.1    0.5    2.9 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 5e-02    0.22          
##             day         3e-04    0.02     -1.00
##  Residual               2e-02    0.14          
## Number of obs: 74, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          1e+00      2e-01       7
## day                 -4e-02      1e-02      -4
## patch_size_ml       -1e-02      6e-03      -2
## day:patch_size_ml    1e-03      4e-04       3
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.963              
## patch_sz_ml -0.897  0.864       
## dy:ptch_sz_  0.863 -0.896 -0.965
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -11.6 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    -31.7    -15.6     22.9    -45.7       67 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -3.6   -0.6    0.2    0.5    2.9 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 1e-01    0.33          
##             day         6e-04    0.02     -1.00
##  Residual               2e-02    0.14          
## Number of obs: 74, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      0.668      0.107       6
## day             -0.008      0.007      -1
## patch_size_ml    0.006      0.002       4
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.905       
## patch_sz_ml -0.381 -0.006
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value   evidence
## 1     -5.2   0.007 *** strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Median Size

response_variable = "median_body_area_µm2"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)
## Warning in qt(conf.interval/2 + 0.5, datac$N - 1): NaNs produced

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
## Warning: Removed 12 rows containing non-finite values (`stat_boxplot()`).
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)
## Warning in qt(conf.interval/2 + 0.5, datac$N - 1): NaNs produced

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##   1286.8   1305.6   -635.4   1270.8       70 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.9   -0.5    0.0    0.5    3.0 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 2e+05    402           
##             day         4e+00      2      -1.00
##  Residual               6e+05    776           
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)           1985        620       3
## day                     80         32       2
## patch_size_ml           41         23       2
## day:patch_size_ml       -2          1      -2
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.872              
## patch_sz_ml -0.902  0.781       
## dy:ptch_sz_  0.803 -0.914 -0.870
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1        0   0.133     none

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##   1288.8   1305.3   -637.4   1274.8       71 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -3.02  -0.31   0.07   0.49   2.91 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 2e+05    467           
##             day         2e+02     14      -0.59
##  Residual               6e+05    790           
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      3e+03      4e+02     7.8
## day              2e+01      1e+01     1.5
## patch_size_ml    9e-01      1e+01     0.1
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.586       
## patch_sz_ml -0.684 -0.072
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1        2   0.948     none
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Populations

for(patch_type_i in patch_type_i){
  
  print(patch_type_i)

  p = ds_patches %>%
  filter(patch_type == patch_type_i) %>%
  group_by(day) %>%
  summarise(
    Ble = mean(Ble_indiv_per_ml_dominance, na.rm = TRUE),
    # Ble_se = sd(Ble_indiv_per_ml_dominance, na.rm = TRUE) / sqrt(n()),
    # Ble_ci = qt(c(0.025, 0.975), df = n() - 1) * Ble_se,
    Cep = mean(Cep_indiv_per_ml_dominance, na.rm = TRUE),
    Col = mean(Col_indiv_per_ml_dominance, na.rm = TRUE),
    Eup = mean(Eup_indiv_per_ml_dominance, na.rm = TRUE),
    Lox = mean(Lox_indiv_per_ml_dominance, na.rm = TRUE),
    Pau = mean(Pau_indiv_per_ml_dominance, na.rm = TRUE),
    Pca = mean(Pca_indiv_per_ml_dominance, na.rm = TRUE),
    Spi = mean(Spi_indiv_per_ml_dominance, na.rm = TRUE),
    Spi_te = mean(Spi_te_indiv_per_ml_dominance, na.rm = TRUE),
    Tet = mean(Tet_indiv_per_ml_dominance, na.rm = TRUE)
  ) %>%
  pivot_longer(Ble:Tet, names_to = "species", values_to = "species_indiv_per_ml") %>%
  ggplot(aes(
    x = day,
    y = species_indiv_per_ml,
    group = interaction(day, species),
    color = species
  )) +
  geom_point(position = position_dodge(dodging),
             size = treatment_points_size) +
  geom_line(
    aes(group = species),
    position = position_dodge(dodging),
    linewidth = treatment_lines_linewidth) + 
  labs(x = axis_names %>% 
         filter(variable == "day") %>% 
         pull(axis_name),
       y = axis_names %>% 
         filter(variable == "dominance") %>% 
         pull(axis_name)) +
  coord_cartesian(ylim = c(0, 100))
  
  print(p)

}
## [1] "Small isolated"

## [1] "Small connected to small"

## [1] "Small connected to large"

Medium patches

patch_type_i = c("Medium isolated",
                     "Medium connected to medium")

Biomass

response_variable = "bioarea_mm2_per_ml"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    199.3    218.7    -91.6    183.3       76 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -2.47  -0.69  -0.09   0.57   2.46 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 5e-02    0.23          
##             day         1e-04    0.01     -1.00
##  Residual               5e-01    0.72          
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          0.946      0.505       2
## day                 -0.062      0.026      -2
## patch_size_ml        0.137      0.019       7
## day:patch_size_ml   -0.003      0.001      -3
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.940              
## patch_sz_ml -0.891  0.838       
## dy:ptch_sz_  0.838 -0.891 -0.940
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -36.8 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    203.5    220.5    -94.8    189.5       77 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.1   -0.7   -0.1    0.7    2.4 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 0.431    0.66          
##             day         0.001    0.04     -1.00
##  Residual               0.513    0.72          
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      2.142      0.321       7
## day             -0.127      0.015      -9
## patch_size_ml    0.086      0.007      13
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.843       
## patch_sz_ml -0.480  0.000
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -32.5 < 0.001 **** very strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Shannon

response_variable = "shannon"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##     79.4     98.2    -31.7     63.4       70 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.1   -0.7    0.0    0.7    2.4 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr
##  culture_ID (Intercept) 0e+00    0.000        
##             day         9e-05    0.009     NaN
##  Residual               1e-01    0.334        
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          1e+00      2e-01     5.8
## day                 -7e-02      2e-02    -4.4
## patch_size_ml       -1e-03      9e-03    -0.1
## day:patch_size_ml    2e-03      5e-04     3.7
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.866              
## patch_sz_ml -0.904  0.778       
## dy:ptch_sz_  0.792 -0.912 -0.860
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -18.5 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##     84.8    101.3    -35.4     70.8       71 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.2   -0.6   -0.1    0.7    2.5 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 1e-01    0.34          
##             day         8e-04    0.03     -1.00
##  Residual               1e-01    0.34          
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      0.751      0.167       4
## day             -0.017      0.010      -2
## patch_size_ml    0.027      0.004       7
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.786       
## patch_sz_ml -0.542 -0.016
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -13.1 < 0.001 **** very strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Richness

response_variable = "species_richness"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    315.9    335.4   -150.0    299.9       76 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -2.06  -0.72  -0.04   0.68   2.29 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr
##  culture_ID (Intercept) 2e-01    0.403        
##             day         3e-06    0.002    1.00
##  Residual               2e+00    1.388        
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          6.170      0.972     6.4
## day                 -0.282      0.049    -5.8
## patch_size_ml        0.034      0.037     0.9
## day:patch_size_ml    0.007      0.002     3.9
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.901              
## patch_sz_ml -0.891  0.804       
## dy:ptch_sz_  0.804 -0.891 -0.901
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -27.9 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    326.4    343.4   -156.2    312.4       77 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -1.9   -0.7   -0.1    0.7    2.2 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 1.384    1.18          
##             day         0.004    0.06     -0.94
##  Residual               2.110    1.45          
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)       3.17       0.66       5
## day              -0.11       0.03      -4
## patch_size_ml     0.16       0.02      10
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.773       
## patch_sz_ml -0.566  0.000
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -17.4 < 0.001 **** very strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Evenness

response_variable = "evenness_pielou"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    -38.1    -19.7     27.1    -54.1       66 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -3.6   -0.5    0.1    0.5    2.9 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 5e-02    0.22          
##             day         3e-04    0.02     -1.00
##  Residual               2e-02    0.14          
## Number of obs: 74, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          1e+00      2e-01       7
## day                 -4e-02      1e-02      -4
## patch_size_ml       -1e-02      6e-03      -2
## day:patch_size_ml    1e-03      4e-04       3
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.963              
## patch_sz_ml -0.897  0.864       
## dy:ptch_sz_  0.863 -0.896 -0.965
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -11.6 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    -31.7    -15.6     22.9    -45.7       67 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -3.6   -0.6    0.2    0.5    2.9 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 1e-01    0.33          
##             day         6e-04    0.02     -1.00
##  Residual               2e-02    0.14          
## Number of obs: 74, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      0.668      0.107       6
## day             -0.008      0.007      -1
## patch_size_ml    0.006      0.002       4
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.905       
## patch_sz_ml -0.381 -0.006
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value   evidence
## 1     -5.2   0.007 *** strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Median Size

response_variable = "median_body_area_µm2"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##   1286.8   1305.6   -635.4   1270.8       70 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.9   -0.5    0.0    0.5    3.0 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 2e+05    402           
##             day         4e+00      2      -1.00
##  Residual               6e+05    776           
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)           1985        620       3
## day                     80         32       2
## patch_size_ml           41         23       2
## day:patch_size_ml       -2          1      -2
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.872              
## patch_sz_ml -0.902  0.781       
## dy:ptch_sz_  0.803 -0.914 -0.870
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1        0   0.133     none

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##   1288.8   1305.3   -637.4   1274.8       71 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -3.02  -0.31   0.07   0.49   2.91 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 2e+05    467           
##             day         2e+02     14      -0.59
##  Residual               6e+05    790           
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      3e+03      4e+02     7.8
## day              2e+01      1e+01     1.5
## patch_size_ml    9e-01      1e+01     0.1
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.586       
## patch_sz_ml -0.684 -0.072
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1        2   0.948     none
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Populations

for(patch_type_i in patch_type_i){
  
  print(patch_type_i)

  p = ds_patches %>%
  filter(patch_type == patch_type_i) %>%
  group_by(day) %>%
  summarise(
    Ble = mean(Ble_indiv_per_ml_dominance, na.rm = TRUE),
    # Ble_se = sd(Ble_indiv_per_ml_dominance, na.rm = TRUE) / sqrt(n()),
    # Ble_ci = qt(c(0.025, 0.975), df = n() - 1) * Ble_se,
    Cep = mean(Cep_indiv_per_ml_dominance, na.rm = TRUE),
    Col = mean(Col_indiv_per_ml_dominance, na.rm = TRUE),
    Eup = mean(Eup_indiv_per_ml_dominance, na.rm = TRUE),
    Lox = mean(Lox_indiv_per_ml_dominance, na.rm = TRUE),
    Pau = mean(Pau_indiv_per_ml_dominance, na.rm = TRUE),
    Pca = mean(Pca_indiv_per_ml_dominance, na.rm = TRUE),
    Spi = mean(Spi_indiv_per_ml_dominance, na.rm = TRUE),
    Spi_te = mean(Spi_te_indiv_per_ml_dominance, na.rm = TRUE),
    Tet = mean(Tet_indiv_per_ml_dominance, na.rm = TRUE)
  ) %>%
  pivot_longer(Ble:Tet, names_to = "species", values_to = "species_indiv_per_ml") %>%
  ggplot(aes(
    x = day,
    y = species_indiv_per_ml,
    group = interaction(day, species),
    color = species
  )) +
  geom_point(position = position_dodge(dodging),
             size = treatment_points_size) +
  geom_line(
    aes(group = species),
    position = position_dodge(dodging),
    linewidth = treatment_lines_linewidth) + 
  labs(x = axis_names %>% 
         filter(variable == "day") %>% 
         pull(axis_name),
       y = axis_names %>% 
         filter(variable == "dominance") %>% 
         pull(axis_name)) +
  coord_cartesian(ylim = c(0, 100))
  
  print(p)

}
## [1] "Medium isolated"

## [1] "Medium connected to medium"

Large patches

patch_type_i = c("Large connected to large",
                     "Large connected to small",
                     "Large isolated")

Biomass

response_variable = "bioarea_mm2_per_ml"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    199.3    218.7    -91.6    183.3       76 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -2.47  -0.69  -0.09   0.57   2.46 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 5e-02    0.23          
##             day         1e-04    0.01     -1.00
##  Residual               5e-01    0.72          
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          0.946      0.505       2
## day                 -0.062      0.026      -2
## patch_size_ml        0.137      0.019       7
## day:patch_size_ml   -0.003      0.001      -3
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.940              
## patch_sz_ml -0.891  0.838       
## dy:ptch_sz_  0.838 -0.891 -0.940
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -36.8 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    203.5    220.5    -94.8    189.5       77 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.1   -0.7   -0.1    0.7    2.4 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 0.431    0.66          
##             day         0.001    0.04     -1.00
##  Residual               0.513    0.72          
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      2.142      0.321       7
## day             -0.127      0.015      -9
## patch_size_ml    0.086      0.007      13
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.843       
## patch_sz_ml -0.480  0.000
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -32.5 < 0.001 **** very strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Shannon

response_variable = "shannon"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##     79.4     98.2    -31.7     63.4       70 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.1   -0.7    0.0    0.7    2.4 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr
##  culture_ID (Intercept) 0e+00    0.000        
##             day         9e-05    0.009     NaN
##  Residual               1e-01    0.334        
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          1e+00      2e-01     5.8
## day                 -7e-02      2e-02    -4.4
## patch_size_ml       -1e-03      9e-03    -0.1
## day:patch_size_ml    2e-03      5e-04     3.7
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.866              
## patch_sz_ml -0.904  0.778       
## dy:ptch_sz_  0.792 -0.912 -0.860
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -18.5 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##     84.8    101.3    -35.4     70.8       71 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.2   -0.6   -0.1    0.7    2.5 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 1e-01    0.34          
##             day         8e-04    0.03     -1.00
##  Residual               1e-01    0.34          
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      0.751      0.167       4
## day             -0.017      0.010      -2
## patch_size_ml    0.027      0.004       7
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.786       
## patch_sz_ml -0.542 -0.016
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -13.1 < 0.001 **** very strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Richness

response_variable = "species_richness"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    315.9    335.4   -150.0    299.9       76 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -2.06  -0.72  -0.04   0.68   2.29 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr
##  culture_ID (Intercept) 2e-01    0.403        
##             day         3e-06    0.002    1.00
##  Residual               2e+00    1.388        
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          6.170      0.972     6.4
## day                 -0.282      0.049    -5.8
## patch_size_ml        0.034      0.037     0.9
## day:patch_size_ml    0.007      0.002     3.9
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.901              
## patch_sz_ml -0.891  0.804       
## dy:ptch_sz_  0.804 -0.891 -0.901
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -27.9 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    326.4    343.4   -156.2    312.4       77 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -1.9   -0.7   -0.1    0.7    2.2 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 1.384    1.18          
##             day         0.004    0.06     -0.94
##  Residual               2.110    1.45          
## Number of obs: 84, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)       3.17       0.66       5
## day              -0.11       0.03      -4
## patch_size_ml     0.16       0.02      10
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.773       
## patch_sz_ml -0.566  0.000
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -17.4 < 0.001 **** very strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Evenness

response_variable = "evenness_pielou"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    -38.1    -19.7     27.1    -54.1       66 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -3.6   -0.5    0.1    0.5    2.9 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 5e-02    0.22          
##             day         3e-04    0.02     -1.00
##  Residual               2e-02    0.14          
## Number of obs: 74, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)          1e+00      2e-01       7
## day                 -4e-02      1e-02      -4
## patch_size_ml       -1e-02      6e-03      -2
## day:patch_size_ml    1e-03      4e-04       3
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.963              
## patch_sz_ml -0.897  0.864       
## dy:ptch_sz_  0.863 -0.896 -0.965
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value         evidence
## 1    -11.6 < 0.001 **** very strong

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##    -31.7    -15.6     22.9    -45.7       67 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -3.6   -0.6    0.2    0.5    2.9 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 1e-01    0.33          
##             day         6e-04    0.02     -1.00
##  Residual               2e-02    0.14          
## Number of obs: 74, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      0.668      0.107       6
## day             -0.008      0.007      -1
## patch_size_ml    0.006      0.002       4
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.905       
## patch_sz_ml -0.381 -0.006
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value   evidence
## 1     -5.2   0.007 *** strong
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Median Size

response_variable = "median_body_area_µm2"
plot.patches.points(ds_patches,
                    patch_type_i,
                    response_variable)

Click for boxplots instead of means
plot.patches.boxplots(patch_type_i,
                       response_variable)
save_results_in_table = TRUE

 

Filter
filtered_data = ds_patches %>%
  filter(
    metaecosystem == "no",
    time_point >= first_time_point_model,
    time_point <= last_time_point_model,
    !is.na(!!sym(response_variable))
  )
Plot filtered data
plot.patches.points(filtered_data,
                    patch_type_i,
                    response_variable)

Analysis
Null model
null_model = lmer(
  get(response_variable) ~
    day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Full model (with patch_size_ml and patch_size_ml : day)
full_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    patch_size_ml : day +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(full_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + patch_size_ml:day +  
##     (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##   1286.8   1305.6   -635.4   1270.8       70 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##   -2.9   -0.5    0.0    0.5    3.0 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 2e+05    402           
##             day         4e+00      2      -1.00
##  Residual               6e+05    776           
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)           1985        620       3
## day                     80         32       2
## patch_size_ml           41         23       2
## day:patch_size_ml       -2          1      -2
## 
## Correlation of Fixed Effects:
##             (Intr) day    ptch__
## day         -0.872              
## patch_sz_ml -0.902  0.781       
## dy:ptch_sz_  0.803 -0.914 -0.870
## optimizer (Nelder_Mead) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(full_model),
           residuals = resid(full_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(full_model))
model_stats_full = compute.model.stats(full_model,
                                       null_model,
                                       "mixed_model") 

model_stats_full %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1        0   0.133     none

 
 
 

Reduced model (with patch_size_ml)
reduced_model = lmer(
  get(response_variable) ~
    day +
    patch_size_ml +
    (day | culture_ID),
  data = filtered_data,
  REML = FALSE,
  control = lmerControl(optimizer = "Nelder_Mead")
)
Click for model output
print(summary(reduced_model), digits = 1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: get(response_variable) ~ day + patch_size_ml + (day | culture_ID)
##    Data: filtered_data
## Control: lmerControl(optimizer = "Nelder_Mead")
## 
##      AIC      BIC   logLik deviance df.resid 
##   1288.8   1305.3   -637.4   1274.8       71 
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
##  -3.02  -0.31   0.07   0.49   2.91 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev. Corr 
##  culture_ID (Intercept) 2e+05    467           
##             day         2e+02     14      -0.59
##  Residual               6e+05    790           
## Number of obs: 78, groups:  culture_ID, 14
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)      3e+03      4e+02     7.8
## day              2e+01      1e+01     1.5
## patch_size_ml    9e-01      1e+01     0.1
## 
## Correlation of Fixed Effects:
##             (Intr) day   
## day         -0.586       
## patch_sz_ml -0.684 -0.072
#Create resid vs fitted
res_vs_fit = filtered_data %>%
    mutate(predicted = fitted(reduced_model),
           residuals = resid(reduced_model)) %>%
    plot_ly(x = ~predicted,
            y = ~residuals,
            type = "scatter",
            mode = "markers",
            marker = list(size = 5, color = "#4C78A8"),
            text = paste(" ID: ", filtered_data$culture_ID, "<br>",
                         "Day: ", filtered_data$day, "<br>",
                         "Patch Type: ", filtered_data$patch_type, "<br>",
                         "Biomass density: ", round(filtered_data$bioarea_mm2_per_ml, digits = 2), "<br>",
                         "Species richness: ", filtered_data$species_richness, "<br>"),
            hoverinfo = "text") %>%
    plotly::layout(
        title = "Residuals vs. Fitted Values",
        xaxis = list(title = "Fitted Values"),
        yaxis = list(title = "Residuals")
    )
Click for residual plots
res_vs_fit
qqnorm(resid(reduced_model))
model_stats_fixed = compute.model.stats(reduced_model,
                                       null_model,
                                       "mixed_model") 

model_stats_fixed %>%
  mutate(deltaAIC = round(deltaAIC, digits = 1),
         p_value = round(p_value, digits = 3),
         R2 = NULL,
         evidence = "",
         evidence = ifelse(p_value > 0.1, 
                           "none",
                           evidence),
         evidence = ifelse(p_value < 0.1, 
                           "* weak",
                           evidence),
         evidence = ifelse(p_value < 0.05, 
                           "** moderate",
                           evidence),
         evidence = ifelse(p_value < 0.01, 
                           "*** strong",
                           evidence),
         evidence = ifelse(p_value < 0.001, 
                           "**** very strong",
                           evidence),
         p_value = ifelse(p_value < 0.001,
                           "< 0.001",
                           p_value)) %>%
  print()
##   deltaAIC p_value evidence
## 1        2   0.948     none
results_table = fill.results.table(results_table,
                                   response_variable,
                                   patch_type_i,
                                   model_stats_full,
                                   model_stats_fixed)

Populations

for(patch_type_i in patch_type_i){
  
  print(patch_type_i)

  p = ds_patches %>%
  filter(patch_type == patch_type_i) %>%
  group_by(day) %>%
  summarise(
    Ble = mean(Ble_indiv_per_ml_dominance, na.rm = TRUE),
    # Ble_se = sd(Ble_indiv_per_ml_dominance, na.rm = TRUE) / sqrt(n()),
    # Ble_ci = qt(c(0.025, 0.975), df = n() - 1) * Ble_se,
    Cep = mean(Cep_indiv_per_ml_dominance, na.rm = TRUE),
    Col = mean(Col_indiv_per_ml_dominance, na.rm = TRUE),
    Eup = mean(Eup_indiv_per_ml_dominance, na.rm = TRUE),
    Lox = mean(Lox_indiv_per_ml_dominance, na.rm = TRUE),
    Pau = mean(Pau_indiv_per_ml_dominance, na.rm = TRUE),
    Pca = mean(Pca_indiv_per_ml_dominance, na.rm = TRUE),
    Spi = mean(Spi_indiv_per_ml_dominance, na.rm = TRUE),
    Spi_te = mean(Spi_te_indiv_per_ml_dominance, na.rm = TRUE),
    Tet = mean(Tet_indiv_per_ml_dominance, na.rm = TRUE)
  ) %>%
  pivot_longer(Ble:Tet, names_to = "species", values_to = "species_indiv_per_ml") %>%
  ggplot(aes(
    x = day,
    y = species_indiv_per_ml,
    group = interaction(day, species),
    color = species
  )) +
  geom_point(position = position_dodge(dodging),
             size = treatment_points_size) +
  geom_line(
    aes(group = species),
    position = position_dodge(dodging),
    linewidth = treatment_lines_linewidth) + 
  labs(x = axis_names %>% 
         filter(variable == "day") %>% 
         pull(axis_name),
       y = axis_names %>% 
         filter(variable == "dominance") %>% 
         pull(axis_name)) +
  coord_cartesian(ylim = c(0, 100))
  
  print(p)

}
## [1] "Large connected to large"

## [1] "Large connected to small"

## [1] "Large isolated"

Results

Meta-ecosystems

# Construct plots

response_variable_list = NULL
n_of_plots = 3
response_variable_list[[1]] = "mean_shannon"
response_variable_list[[2]] = "bray_curtis"
response_variable_list[[3]] = "metaecosystem_richness"
metaecosystem_type_i = c("Medium-Medium meta-ecosystem",
                         "Medium-Medium isolated",
                         "Small-Large meta-ecosystem",
                         "Small-Large isolated")
legend_row_n_input = 2
p = NULL
  
for (i in 1: n_of_plots) {
  
  p[[i]] = plot.metaecos.points(ds_metaecosystems,
                               metaecosystem_type_i,
                               response_variable_list[[i]],
                               legend_row_n_input) +
    theme(plot.margin = unit(c(ggarrange_margin_left,
                               ggarrange_margin_right,
                               ggarrange_margin_bottom,
                               ggarrange_margin_left),
                             "cm"))
}
# Combine plots

p_combined = ggarrange(
  p[[1]] +
    rremove("xlab") +
    theme(axis.text.x = element_blank(),
          axis.ticks.x = element_blank()) +
    font("legend.text", size = size_legend) +
    font("ylab", size = size_y_axis),
  p[[2]] +
    rremove("xlab") +
    theme(axis.text.x = element_blank(),
          axis.ticks.x = element_blank()) +
    font("legend.text", size = size_legend) +
    font("ylab", size = size_y_axis),
  p[[3]] +
    font("legend.text", size = size_legend) +
    font("xlab", size = size_y_axis) +
    font("ylab", size = size_y_axis) +
    scale_x_continuous(breaks = unique(ds_metaecosystems$day)),
  heights = c(0.8,0.8,1),
  nrow = 3,
  common.legend = TRUE,
  align = "v",
  labels = c("(a)", "(b)", "(c)"),
  label.x = 0.1,
  label.y = 0.8
)
# Show combined plots

p_combined

# Save combined plots

png(
  file = here("results", "figures", disturbance_global_input, "paper", "metaecosystems_diversity.png"),
  width = paper_width,
  height = paper_height,
  units = paper_units,
  res = paper_res
)

p_combined

dev.off()
# Construct function to create empty plots

plot.empty = function(y_min,
                      y_max){
  
  ds_metaecosystems %>%
  filter(metaecosystem_type %in% metaecosystem_type_i,
         !is.na(!!sym(response_variable))) %>%
  ggplot(
    aes(
      x = day,
      y = get(response_variable),
      group = interaction(day, metaecosystem_type),
      color = metaecosystem_type,
      linetype = metaecosystem_type
    )
  ) +
  geom_point(
    stat = "summary",
    fun = "mean",
    position = position_dodge(dodging),
    size = presentation_treatment_points_size
  ) +
  geom_line(
    stat = "summary",
    fun = "mean",
    aes(group = metaecosystem_type),
    position = position_dodge(dodging),
    linewidth = presentation_treatment_linewidth
  ) +
  xlim(x_min, x_max) +
  ylim(y_min, y_max) +
  labs(x = axis_names$axis_name[axis_names$variable == "day"],
       y = axis_names$axis_name[axis_names$variable == response_variable],
       color = "") +
  geom_vline(
    xintercept = resource_flow_days,
    linetype = resource_flow_line_type,
    color = resource_flow_line_colour,
    linewidth = resource_flow_line_width
  ) +
  theme_bw() +
  theme(
    panel.grid.major = element_blank(),
    panel.grid.minor = element_blank(),
    legend.position = legend_position,
    legend.key.width = unit(legend_width_cm, "cm")
  ) +
  guides(color = guide_legend(title = NULL,
                              nrow = 3),
         linetype = guide_legend(title = NULL,
                                 nrow = 3)) +
  guides(color = "none", 
         linetype = "none")
}
# Construct empty alpha & beta plots

metaecosystem_type_i = ""
x_min = -0.2
x_max = 30
  
response_variable = "mean_shannon"
y_min_alpha = 0
y_max_alpha = 2.5
alpha_plots = NULL
alpha_plots[[1]] = plot.empty(y_min_alpha,
                              y_max_alpha)

response_variable = "bray_curtis"
y_min_beta = 0
y_max_beta = 1
beta_plots = NULL
beta_plots[[1]] = plot.empty(y_min_beta,
                             y_max_beta)
# Construct alpha & beta plots

metaecosystem_type_i = c("Medium-Medium meta-ecosystem",
                         "Medium-Medium isolated",
                         "Small-Large meta-ecosystem",
                         "Small-Large isolated")
legend_row_n_input = 2

response_variable = "mean_shannon"
for (i in 1:length(metaecosystem_type_i)) {
  
  alpha_plots[[i+1]] = plot.metaecos.points(ds_metaecosystems,
                               metaecosystem_type_i[1:i],
                               response_variable,
                               legend_row_n_input) +
    theme(plot.margin = unit(c(ggarrange_margin_left,
                               ggarrange_margin_right,
                               ggarrange_margin_bottom,
                               ggarrange_margin_left),
                             "cm"),
          legend.position = "none") +
    xlim(x_min, x_max) +
    ylim(y_min_alpha, y_max_alpha)
}

response_variable = "bray_curtis"
for (i in 1:length(metaecosystem_type_i)) {
  
  beta_plots[[i+1]] = plot.metaecos.points(ds_metaecosystems,
                               metaecosystem_type_i[1:i],
                               response_variable,
                               legend_row_n_input) +
    theme(plot.margin = unit(c(ggarrange_margin_left,
                               ggarrange_margin_right,
                               ggarrange_margin_bottom,
                               ggarrange_margin_left),
                             "cm"),
          legend.position = "none") +
    xlim(x_min, x_max) +
    ylim(y_min_beta, y_max_beta)
}
# Combine plots

p_combined = NULL
for(i in 1:5){
  p_combined[[i]] = ggarrange(
  alpha_plots[[i]] +
    rremove("xlab") +
    theme(axis.text.x = element_blank(),
          axis.ticks.x = element_blank()) +
    font("legend.text", size = size_legend) +
    font("ylab", size = size_y_axis),
  beta_plots[[i]] +
    font("legend.text", size = size_legend) +
    font("xlab", size = size_y_axis) +
    font("ylab", size = size_y_axis) +
    scale_x_continuous(breaks = unique(ds_patches$day)),
  heights = c(0.8, 0.8, 1),
  nrow = 2,
  align = "v",
  label.x = 0.1,
  label.y = 0.8)
}
# Save combined plots

for(i in 1:5){
  
  png(file = here("results", "figures", disturbance_global_input, "presentations", paste0(i, "_metaecos_diversity.png")),
      width = paper_width,
      height = paper_height,
      units = paper_units,
      res = paper_res)
  
  print(p_combined[[i]])
  
  dev.off()
}

Isolated patches

# Construct plots

response_variable_list = NULL
response_variable_list[[1]] = "bioarea_mm2_per_ml"
response_variable_list[[2]] = "shannon"
patch_type_i = c("Small isolated",
                 "Medium isolated",
                 "Large isolated")
legend_row_n_input = 2
p = NULL
  
for (i in 1:2) {
  
  p[[i]] = plot.patches.points(ds_patches,
                               patch_type_i,
                               response_variable_list[[i]],
                               legend_row_n_input) +
    theme(plot.margin = unit(c(ggarrange_margin_left,
                               ggarrange_margin_right,
                               ggarrange_margin_bottom,
                               ggarrange_margin_left),
                             "cm"))
}
## Warning in qt(conf.interval/2 + 0.5, datac$N - 1): NaNs produced
# Combine plots

p_combined = ggarrange(
  p[[1]] +
    rremove("xlab") +
    theme(axis.text.x = element_blank(),
          axis.ticks.x = element_blank()) +
    font("legend.text", size = size_legend) +
    font("ylab", size = size_y_axis),
  p[[2]] +
    font("legend.text", size = size_legend) +
    font("xlab", size = size_y_axis) +
    font("ylab", size = size_y_axis) +
    scale_x_continuous(breaks = unique(ds_patches$day)),
  heights = c(0.8, 0.8, 1),
  nrow = 2,
  align = "v",
  labels = c("(a)", "(b)"),
  label.x = 0.1,
  label.y = 0.8,
  common.legend = TRUE
)
# Show combined plots

p_combined

# Save combined plots

png(
  file = here("results", "figures", disturbance_global_input, "paper", "patches_biomass.png"),
  width = paper_width,
  height = paper_height,
  units = paper_units,
  res = paper_res
)

p_combined

dev.off()

Evaporation

Evaporation when microwaving 15 falcon tubes at the time

evaporation.test = read.csv(here("data", "evaporation_test","evaporation_test_right.csv"), header = TRUE)

evaporation.test %>%
  ggplot(aes (x = as.character(water_pipetted),
                y = weight_water_evaporated,
                group = interaction(water_pipetted, as.character(rack)),
                fill = as.character(rack))) +
  geom_boxplot(width = boxplot_width) +
  labs(x = "Water volume (ml)" , 
       y = "Evaporation (g)", 
       fill = "Rack replicate")

Evaporation when microwaving 5 tubes with 10 filled or empty tubes

evaporation.test = read.csv(here("data", "evaporation_test", "evaporation_test_fill_nofill.csv"), header = TRUE)

evaporation.test %>%
  ggplot(aes (x = all_tubes_water,
              y = weight_water_evaporated)) +
  geom_boxplot(width = boxplot_width) +
  labs(x = "Water in the other 10 tubes" , 
  y = "Evaporation (g)", 
  caption = "When all tubes were filled, they were filled with 6.75 ml of deionised water.")

Analysis scripts

Video analysis

rm(list = ls())
setwd("/media/mendel-himself/ID_061_Ema2/PatchSizePilot/training")

# load package
# library(devtools)
# install_github("femoerman/bemovi", ref="master")
library(bemovi)
library(parallel)
library(doParallel)
library(foreach)

#Define memory to be allocated
memory.alloc <- 240000 #-needs_to_be_specified
memory.per.identifier <- 40000 #-needs_to_be_specified
memory.per.linker <- 5000 #-needs_to_be_specified
memory.per.overlay <- 60000 #-needs_to_be_specified

# UNIX
# set paths to tools folder and particle linker
tools.path <-
  "/home/mendel-himself/bemovi_tools/" #-needs_to_be_specified
to.particlelinker <- tools.path

# directories and file names
to.data <- paste(getwd(), "/", sep = "")
video.description.folder <- "0_video_description/"
video.description.file <- "video_description.txt"
raw.video.folder <- "1_raw/"
raw.avi.folder <- "1a_raw_avi/"
metadata.folder <- "1b_raw_meta/"
particle.data.folder <- "2_particle_data/"
trajectory.data.folder <- "3_trajectory_data/"
temp.overlay.folder <- "4a_temp_overlays/"
overlay.folder <- "4_overlays/"
merged.data.folder <- "5_merged_data/"
ijmacs.folder <- "ijmacs/"


######################################################################
# VIDEO PARAMETERS

# video frame rate (in frames per second)
fps <- 25 #-needs_to_be_specified

# length of video (in frames)
total_frames <- 125 #-needs_to_be_specified

#Dimensions of the videos in pixels
width = 2048 #-needs_to_be_specified
height = 2048 #-needs_to_be_specified

# measured volume (in microliter) #-needs_to_be_specified
measured_volume <-
  34.4 # for Leica M205 C with 1.6 fold magnification, sample height 0.5 mm and Hamamatsu Orca Flash 4
#measured_volume <- 14.9 # for Nikon SMZ1500 with 2 fold magnification, sample height 0.5 mm and Canon 5D Mark III

# size of a pixel (in micrometer) #-needs_to_be_specified
pixel_to_scale <-
  4.05 # for Leica M205 C with 1.6 fold magnification, sample height 0.5 mm and Hamamatsu Orca Flash 4
#pixel_to_scale <- 3.79 # for Nikon SMZ1500 with 2 fold magnification, sample height 0.5 mm and Canon 5D Mark III

# specify video file format (one of "avi","cxd","mov","tiff")
# bemovi only works with avi and cxd. other formats are reformated to avi below
video.format <- "cxd" #-needs_to_be_specified

# setup
difference.lag <- 10
thresholds <- c(13, 255) # don't change the second value
# thresholds <- c(50,255)

# MORE PARAMETERS (USUALLY NOT CHANGED)
######################################################################
# FILTERING PARAMETERS
# optimized for Perfex Pro 10 stereomicrocope with Perfex SC38800 (IDS UI-3880LE-M-GL) camera
# tested stereomicroscopes: Perfex Pro 10, Nikon SMZ1500, Leica M205 C
# tested cameras: Perfex SC38800, Canon 5D Mark III, Hamamatsu Orca Flash 4
# tested species: Tet, Col, Pau, Pca, Eug, Chi, Ble, Ceph, Lox, Spi

# min and max size: area in pixels
particle_min_size <- 10
particle_max_size <- 1000

# number of adjacent frames to be considered for linking particles
trajectory_link_range <- 3
# maximum distance a particle can move between two frames
trajectory_displacement <- 16

# these values are in the units defined by the parameters above: fps (seconds), measured_volume (microliters) and pixel_to_scale (micometers)
filter_min_net_disp <- 25
filter_min_duration <- 1
filter_detection_freq <- 0.1
filter_median_step_length <- 3

######################################################################
# VIDEO ANALYSIS

#Check if all tools are installed, and if not install them
check_tools_folder(tools.path)

#Ensure computer has permission to run bftools
system(paste0("chmod a+x ", tools.path, "bftools/bf.sh"))
system(paste0("chmod a+x ", tools.path, "bftools/bfconvert"))
system(paste0("chmod a+x ", tools.path, "bftools/showinf"))

# Convert files to compressed avi (takes approx. 2.25 minutes per video)
convert_to_avi(
  to.data,
  raw.video.folder,
  raw.avi.folder,
  metadata.folder,
  tools.path,
  fps,
  video.format
)


# TESTING

# check file format and naming
# check_video_file_names(to.data,raw.avi.folder,video.description.folder,video.description.file)

# check whether the thresholds make sense (set "dark backgroud" and "red")
#check_threshold_values(to.data, raw.avi.folder, ijmacs.folder, 2, difference.lag, thresholds, tools.path,  memory.alloc)

# identify particles
locate_and_measure_particles(
  to.data,
  raw.avi.folder,
  particle.data.folder,
  difference.lag,
  min_size = particle_min_size,
  max_size = particle_max_size,
  thresholds = thresholds,
  tools.path,
  memory = memory.alloc,
  memory.per.identifier = memory.per.identifier,
  max.cores = detectCores() - 1
)

# link the particles
link_particles(
  to.data,
  particle.data.folder,
  trajectory.data.folder,
  linkrange = trajectory_link_range,
  disp = trajectory_displacement,
  start_vid = 1,
  memory = memory.alloc,
  memory_per_linkerProcess = memory.per.linker,
  raw.avi.folder,
  max.cores = detectCores() - 1,
  max_time = 1
)

# merge info from description file and data
merge_data(
  to.data,
  particle.data.folder,
  trajectory.data.folder,
  video.description.folder,
  video.description.file,
  merged.data.folder
)

# load the merged data
load(paste0(to.data, merged.data.folder, "Master.RData"))

# filter data: minimum net displacement, their duration, the detection frequency and the median step length
trajectory.data.filtered <-
  filter_data(
    trajectory.data,
    filter_min_net_disp,
    filter_min_duration,
    filter_detection_freq,
    filter_median_step_length
  )

# summarize trajectory data to individual-based data
morph_mvt <-
  summarize_trajectories(
    trajectory.data.filtered,
    calculate.median = F,
    write = T,
    to.data,
    merged.data.folder
  )

# get sample level info
summarize_populations(
  trajectory.data.filtered,
  morph_mvt,
  write = T,
  to.data,
  merged.data.folder,
  video.description.folder,
  video.description.file,
  total_frames
)

# create overlays for validation
create.subtitle.overlays(
  to.data,
  traj.data = trajectory.data.filtered,
  raw.video.folder,
  raw.avi.folder,
  temp.overlay.folder,
  overlay.folder,
  fps,
  vid.length = total_frames / fps,
  width,
  height,
  tools.path = tools.path,
  overlay.type = "number",
  video.format
)

# Create overlays (old method)
create_overlays(
  traj.data = trajectory.data.filtered,
  to.data = to.data,
  merged.data.folder = merged.data.folder,
  raw.video.folder = raw.avi.folder,
  temp.overlay.folder = "4a_temp_overlays_old/",
  overlay.folder = "4_overlays_old/",
  width = width,
  height = height,
  difference.lag = difference.lag,
  type = "traj",
  predict_spec = F,
  contrast.enhancement = 1,
  IJ.path = "/home/mendel-himself/bemovi_tools",
  memory = memory.alloc,
  max.cores = detectCores() - 1,
  memory.per.overlay = memory.per.overlay
)

########################################################################
# some cleaning up
#system("rm -r 2_particle_data")
#system("rm -r 3_trajectory_data")
#system("rm -r 4a_temp_overlays")
system("rm -r ijmacs")
########################################################################

Species identification

rm(list = ls())

#install.packages("e1071",dependencies = T)
#install.packages("devtools",dependencies = T)
#install_github("pennekampster/bemovi", ref="master")
#library(devtools)

library(bemovi)
library(e1071)
library("here")
library("tidyverse")

time_points_in_experiment = c("t0", "t1", "t2", "t3", "t4", "t5", "t6", "t7")

for (time_point in time_points_in_experiment) {
  
  #Folder names and paths
  video.description.folder = "0_video_description/"
  video.description.file = "video_description.txt"
  merged.data.folder = "5_merged_data/"
  monocultures_folder_path = here("biomass_analysis", "training", "")
  mixed_cultures_folder_path = here("biomass_analysis", time_point, "")
  
  #Parameters used in the video analysis script
  fps = 25
  nsv = 5
  measured_volume = 34.4
  pixel_to_scale = 4.05
  filter_min_net_disp = 25
  filter_min_duration = 1
  filter_detection_freq = 0.1
  filter_median_step_length = 3
  
  #Load master dataset of mono-cultures
  load(paste0(
    monocultures_folder_path,
    merged.data.folder,
    "Master.RData"
  ))
  trajectory.data_monocultures = trajectory.data
  rm(trajectory.data)
  
  #Filter the master data of mono-cultures using the same parameters as in the videos analysis script
  trajectory.data_monocultures.filtered = filter_data(
    trajectory.data_monocultures,
    filter_min_net_disp,
    filter_min_duration,
    filter_detection_freq,
    filter_median_step_length
  )
  
  #Go from trajectory data to individuals data
  morph_mvt = summarize_trajectories(
    data = trajectory.data_monocultures.filtered,
    calculate.median = FALSE,
    write = TRUE,
    to.data = monocultures_folder_path,
    merged.data.folder = merged.data.folder
  ) %>%
    mutate(comment = NULL)
  
  training_data = morph_mvt[complete.cases(morph_mvt), ]
  
  svm1 = svm(
    factor(species) ~
      mean_grey +
      sd_grey +
      mean_area +
      sd_area +
      mean_perimeter +
      mean_turning +
      sd_turning +
      sd_perimeter +
      mean_major +
      sd_major +
      mean_minor +
      sd_minor +
      mean_ar +
      sd_ar +
      duration +
      max_net  +
      net_disp +
      net_speed +
      gross_disp +
      max_step +
      min_step +
      sd_step +
      sd_gross_speed +
      max_gross_speed +
      min_gross_speed ,
    data = training_data,
    probability = T,
    na.action = na.pass
  )
  
  confusion.matrix = table(svm1$fitted, training_data$species)
  confusion.matrix.nd = confusion.matrix
  diag(confusion.matrix.nd) = 0
  svm1$confusion = cbind(confusion.matrix,
                         class.error = rowSums(confusion.matrix.nd) / rowSums(confusion.matrix))
  
  print(paste("Confusion matrix of time point", time_point))
  print(svm1$confusion)
  
  species.names = unique(trajectory.data_monocultures$species)
  
  load(paste0(
    mixed_cultures_folder_path,
    merged.data.folder,
    "Master.RData"
  ))
  
  trajectory.data_mixed = trajectory.data
  rm(trajectory.data)
  
  trajectory.data_mixed.filtered = filter_data(
    trajectory.data_mixed,
    filter_min_net_disp,
    filter_min_duration,
    filter_detection_freq,
    filter_median_step_length
  )
  
  morph_mvt = summarize_trajectories(
    data = trajectory.data_mixed.filtered,
    calculate.median = FALSE,
    write = TRUE,
    to.data = mixed_cultures_folder_path,
    merged.data.folder = merged.data.folder
  )[, which(colnames(morph_mvt) != "Col_manual")] %>%
    mutate(comment = NULL)
  
  data.to.predict = morph_mvt[complete.cases(morph_mvt),]
  
  p.id = predict(object = svm1,
                 data.to.predict,
                 type = "response")
  
  data.to.predict$predicted_species = as.character(p.id)
  
  pop.data = summarize_populations(
    traj.data = trajectory.data_monocultures.filtered,
    sum.data = morph_mvt,
    write = TRUE,
    to.data = mixed_cultures_folder_path,
    merged.data.folder = merged.data.folder,
    video.description.folder = video.description.folder,
    video.description.file = video.description.file,
    total_frame = fps * nsv
  )
  
  species.density = function(sample_output,
                             indiv_predicted,
                             species_names,
                             total_frames,
                             mv = measured_volume) {
    samples = unique(indiv_predicted$file)
    
    sp.dens = matrix(0,
                     nrow(sample_output),
                     length(species_names))
    
    colnames(sp.dens) = species_names
    
    for (i in 1:length(samples)) {
      indiv = subset(indiv_predicted, file == samples[i])
      
      spec = unique(indiv$predicted_species)
      
      for (j in 1:length(spec)) {
        all.indiv.sp = subset(indiv,
                              predicted_species == spec[j])
        
        dens = sum(all.indiv.sp$N_frames) / total_frames / mv
        sp.dens[which(sample_output$file == as.character(samples[i])), which(species_names == spec[j])] = dens
      }
    }
    
    return(cbind(sample_output, sp.dens))
    
  }
  
  output = species.density(
    pop.data,
    data.to.predict,
    species.names,
    total_frames = fps * nsv,
    mv = measured_volume
  )
  
  file_name = paste0("species_ID_", time_point, ".csv")
  
  write.csv(output,
            here("biomass_analysis", "species_ID_results", file_name))
  rm(output)
  
}

Other

Running time

## Time difference of 1.3 mins

Disturbance input

Check that disturbance_global_input is what you set:

print(paste0("Disturbance = ", disturbance_global_input))
## [1] "Disturbance = high"

Change code using terminal

If you want to change a certain part of the code:

#Rmd script
cd /Users/ema/Documents/GitHub/PatchSize/r_files
sed -i '' 's/old_string/new_string/g' *.Rmd

#R script
cd /Users/ema/Documents/GitHub/PatchSize/r_files/functions
sed -i '' 's/old_string/new_string/g' *.R

Code to give you back an object

dput()

Crashed cultures

The only type of patch where all cultures crashed was small connected to small at high disturbance.

Residuals

References